What is an equation in point-slope form of the line that passes through (1, −6) and (4, 6)

Answers

Answer 1

Answer:

Step-by-step explanation:

6--6 = 12

4-1 = 3

12/3 = 4

y=4x

-6-4 = -10

y=4x-10

Answer 2

The formula of slope:

Slope = (d - b) / (c - a)

where (a, b) and (c, d) are the two points.

The equation of the line that passes through (1, -6) and (4, 6) is

y = 4x - 10

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The line passes through (1, -6) and (4, 6).

The formula of slope:

Slope = (d - b) / (c - a)

where (a, b) and (c, d) are the two points.

Now,

(1, -6) = (a, b) and (4, 6) = (c, d)

Slope = (6 + 6) / (4 - 1) = 12 / 3 = 4

m = 4

The equation of a line is given as y = mx + c.

(1, -6) = (x, y)

-6 = 4 x 1 + c

-6 = 4 + c

-6 - 4 = c

c = -10

Now,

The equation of the line that passes through (1, -6) and (4, 6) is

y = 4x - 10

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Related Questions

Which angle measures approximately 152°?

Answers

Answer:

The answer is YZC, so the third option

Step-by-step explanation:

The explanation for this one is fairly simple, as the lines are already drawn out for you!

The line labeled C lines up with 152 on the protractor, and after connecting that to the base point Z in the middle and then the base line of Y, you get YZC

Hopefully I helped you!

Answer:

yzc

Step-by-step explanation:

i took the test and got it right

we can describe 15x-10 as an expression we would describe 9+5=32 as an...

Answers

Answer:

equation

Step-by-step explanation:

Equations have equals signs, expressions do not

15x-10 is an expression

9+5 = 32 is an equation  ( it is a wrong equation)

What is the value of SZT?

Answers

Answer:

[tex] \boxed{m \angle SZT = 121 \degree } [/tex]

Given:

[tex]m \angle RZT = 137 \degree \\ m\angle RZS = 56 \degree [/tex]

Step-by-step explanation:

[tex]= > m \angle RZT = m\angle RZS + m \angle SZT \\ \\ = >157 \degree = 36 \degree+ m \angle SZT \\ \\ = > 157 \degree - 36 \degree = m \angle SZT \\ \\ = > 121 \degree = m \angle SZT \\ \\ = > m \angle SZT = 121 \degree [/tex]

Define: slant height

Answers

Answer:

The slant height which is the distance from the top, down the side, to a point on the base circumference.

Step-by-step explanation:

Commutative
Property

Answers

Answer: means you can switch up the numbers

Step-by-step explanation:

so Commutative  Property means you can switch up

the numbers not the sign for example.

4 × 3 × x

4 × x × 3

3 × x × 4

x × 3 × 4

x × 4 × 3

if you look at all these! they just switch

this is easier like 4x5=20 in communicative property it would be 5x4=20

Hope this helps :)

Find the SURFACE AREA of this composite solid. Show work

Answers

Answer:

8

Step-by-step explanation:

4+4

6-6+8

One sheet of paper is 9 x 10 to the power of -3 to cm thick. Mark wants to put 500 sheets of paper into the paper tray of his printer. The paper tray is 4 cm deep. Is the paper tray deep enough for 500 sheets of paper? You must explain your answer. Input note: write down the thickness of the 500 sheets of paper.

Answers

Answer:

The paper tray is not deep enough.

Step-by-step explanation:

500 * 9 * 10^-3

= 500 * 0.009

= 4.5 cm which is greater than the depth of the paper tray (4 cm).

The paper tray is not enough for sheets of paper.

The thickness of 500 sheets of paper is 45 cm.

What is multiplication?

Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.

One sheet of paper is [tex]9[/tex] × [tex]10^{-3}[/tex] to the power of -3 to cm thick.

Mark wants to put 500 sheets of paper into the paper tray of his printer.

The thickness of 500 sheets of paper is

 [tex]9[/tex] × [tex]10^{-3}[/tex] × 500 = 45 cm

But the paper tray is 4cm deep

45 cm > 4 cm

So the paper tray is not enough for sheets of paper.

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Algebra 2 can anyone help??

Answers

Answer:

Step-by-step explanation:

cot θ=-9.68

cotθ is negative

so θ lies in 2nd or 4th quadrant.

tan θ=-1/9.68

θ=tan ^{-1}(-1/9.68)≈174.1°,354.1°

3.

sec θ=-9.13+5=-8.13

sec θ is negative so θ lies in 2nd or 3rd quadrant.

cos θ=(-1/8.13)

θ=cos^{-1}(-1/8.13)≈97.1°

Find the number missing from the following equivalent fractions 20/35=4/?

Answers

since the common number of the fraction 20/35 is 5 then divide both sides by 5 which would equal to 4/6 as the equivalent fraction

The missing number is 7.

please see the attached picture for full solution

Hope it helps

Good luck on your assignment


Linda made 5 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for all 5 necklaces was $18.50. If the beads cost $1.50 for each necklace, how much did each pendant cost?

Answers

1.50 for beads x 5 necklaces = 7.50

Total.

18.50 -7.50 = 11.00

11.00 / 5 = $2.20 for was pendant

Joey is at the pet store wanting to purchase a puppy. The cost of the puppy is $65. He will need to purchase supplies for his new puppy. The puppy food and training pads are the same price. If Joey spends $97 on this total purchase, how much would the puppy food and training pads cost? Explain your answer.

Answers

The answer is :
97+65= 162
The final answer is $162

Answer:

97 - 65 = $32 for both the puppy food and training pads

32 / 2 = $16 for the puppy food and $16 for the training pads

Can someone explain me how to find square root by prime factorization ?

Answers

Answer:

STEPS Step I: Obtain the given number. Step II: Resolve the given number into prime factors by successive division. Step III: Make pairs of prime factors such that both the factors in each pair are equal. Since the number is a perfect square, you will be able to make an exact number of pairs of prime factors. Step IV: Take one factor from each pair. Step V: Find the product of factors obtained in step IV. Step VI: The product obtained in step V is the required square root.Example

Find the square root of 324

324 = 2 x 162 = 2 x 2 x 81 = 2 x 2 x 3 x 27 = 2 x 2 x 3 x 3 x 9 = 2 x 2 x 3 x 3 x 3 x 3 ∴ √324 = √( 2 x 2 x 3 x 3 x 3 x 3 ) √324 = 2 x 3 x 3 √324 = 18

A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, determine which system of inequality best explains whether the company can build 20 child bikes and 6 adult bikes in the week. (2 points) A: No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 B: No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100 C: Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 D: Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100

Answers

Answer:

A: No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100

Step-by-step explanation:

c = child bike

a = adult bike

Child bike requirement:

4 hours build time

4 hours test time

Adult bike requirement:

6 hours build time

4 hours test time

Available Building time per week ≤ 120 hours

Available Testing time per week ≤ 100 hours

Therefore, company's work schedule is;

Building:

4c + 6a ≤ 120

Testing:

4c + 4a ≤ 100

Combined:

4c + 6a ≤ 120 and 4c + 4a ≤ 100

Building 20 Child bike and 6 adult bike in a week:

4(20) + 6(6) ≤ 120 and 4(20) + 4(6) ≤ 100

80 + 36 ≤ 120 - - - - 80 + 24 > 100

Therefore Building 20 Child bike and 6 adult bike in a week is not feasible.

Answer:

Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100

Step-by-step explanation:

I took the test on FLVS

Sue graphed the formula for converting temperatures from Fahrenheit to Celsius. A graph titled Temperature Conversion has Degrees Fahrenheit on the x-axis and Degrees Celsius on the y-axis. The line goes through points (50, 10) and (64, 18). If the temperature is 50 degrees Fahrenheit, what is the temperature in Celsius? 5 degrees Celsius 10 degrees Celsius 15 degrees Celsius 20 degrees Celsius

Answers

Answer:

10 degrees Celsius

Step-by-step explanation:

Since the line goes through point (50, 10) and x represents Fahrenheit, y represents Celsius, then 50 F= 10 C

Answer:

10 degrees

Step-by-step explanation:



Solve for X.
X/3=5/8
4 4/5
17/8
8/15

Answers

Answer:

x = [tex]\frac{15}{8}[/tex]

OR

x = [tex]1 \frac{7}{8}[/tex]

Step-by-step explanation:

[tex]\frac{x}{3} = \frac{5}{8}[/tex]

Cross Multiplying

x × 8 = 5 × 3

8x = 15

Dividing both sides by 8

x = [tex]\frac{15}{8}[/tex]

OR

x = [tex]1 \frac{7}{8}[/tex]

Determine the number of solutions for the quadratic function f(x) = -x^2 + 3x - 9.

Answers

Answer:

0

Step-by-step explanation:

Rewrite the equation as x^2-3x+9=0

find the determinant.

D = b^2-4ac = (-3)^2-4*1*9 <0

no solution

Please help guys please

Answers

Answer: The answer is A

Step-by-step explanation:

Do not guess plz math question

Answers

Answer:

-12

Step-by-step explanation:

[tex]7\dfrac{1}{2}\div\left( 4\dfrac{1}{2}-5\dfrac{1}{8} \right)=\\\\7\dfrac{1}{2}\div -\dfrac{5}{8}=\\\\\dfrac{15}{2}\times -\dfrac{8}{5}=\\\\-\dfrac{15\times 8}{2\times 5}=\\\\-12[/tex]

Hope this helps!

PLEASE HELP!!!!! PLEASE

Answers

Answer: d. (if a polygon has congruent angles, then it is regular)

Step-by-step explanation:

Converses follow the format of "if q, then p" (while  the original conditional is "if p, then q")

Just because there are clouds does not mean its raining (cloudy days)

just because it has four equal sides does not make it a square (rhombi have four equal sides but are not squares)

just because you cannot see the sun does not mean it is not daytime (solar eclipses)

if a polygon is regular, it must have congruent angles

Find the volume of the prism.

Answers

Answer:

792

Step-by-step explanation:

mark me brainliest!

12*11*6=792

v=l*w*h

*= times

What’s the sum of -30 and 29

Answers

Answer:

The answer of -1.

Step-by-step explanation:

You have to add both numbers together :

[tex] - 30 + 29 \\ = - 1[/tex]

[tex] - 30 + 29 \\ = - 1 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

*I WILL MARK YOU BRAINLIEST!!!!*

Answers

Answer:

A

Step-by-step explanation:

Hope it helped

Answer:Thr answer is A

I wiol mark you brainliest!!! Use the substitution method to solve the system of equations.

Answers

Answer: b. (6,27)

Step-by-step explanation:

y=5x- 3     x=6<---- put in the equation

y=5(6)-3 <------- mulitply 5 and 6

y=30-3 <---- subtracted

y= 27. <---- y value.

Answer being (6,27)

Hope it helps :)

. The new saleswoman at Clocks Unlimited was very good. During her first day on the job she sold at least two of each of the three models that other salespeople found the most difficult to sell: the kitchen clock that sells for $17, the cuckoo clock that sells for $3 1, and the two-foot high grandfather clock that sells for $61. In all, she collected $300 from selling these models alone. How many $17 clocks did she sell? Justify your answer

Answers

Answer:

5

Step-by-step explanation:

Let the number of the kitchen clock sold =a

Let the number of the cuckoo clock sold =b

Let the number of the two-foot high grandfather clocks sold =c

The new saleswoman sold at least two of each of the three models.

Therefore:

[tex]a\geq 2\\b \geq 2\\c \geq 2[/tex]

In all, she collected $300 from selling these models alone

17a+31b+61c=300

17(2)+31(2)+61(2)=218

300-218=82

Next, we try to express the remainder (82) in terms of 17, 31 and 61

82=17(3)+31

Therefore, she sold:

5 kitchen clocks3 cuckoo clocks 2 two-foot high grandfather clocks

She sold 5 $17 clocks.

CHECK:

17(5)+31(3)+2(61)=$300

Vx
Below is a scale drawing of a stage that Syla is designing,
8 cm
5 cm
Using the scale 1 cm: 7 m, Syla calculated the width, or the shorter side of the stage, to be 35 m. She decides to change the
scale to 1 cm 10 m. What is the width of the new stage?
35 m
50 m
56 m
80 m
Save and Exit
Next
Submit
Mark this and return
PA-Common Core...

Answers

Answer:

I beleive the new stage would be 50 meters wide

Step-by-step explanation:

I took the quiz on ed

There are 80 picnic tables at the park. During the first weekend of the summer, there were 40 available tables. During the second weekend of the summer, there were 20 available tables. During the third weekend of the summer, there were 10 available tables. Based on the pattern, how many picnic tables will be available during the fourth weekend of the summer?




will mark brainliest

Answers

Answer:

5

Step-by-step explanation:

We can see a pattern of 1/2 as the week progresses. 1/2 of 80 is 40, 1/2 of 40 is 20, 1/2 of 20 is 10, so for the fourth week 1/2 of 10 is 5.

Can someone explain how $3.79 x 2 =$7.58 is equivalent to $7.58/2=$3.79

Answers

Answer:

ehhrr idk

Step-by-step explanation:

Answer:

Because 7.85/2 mean that you are diving the top by the bottom so that would give you the answer of $3.79, I hope I answered your question how you wanted it to be I am sorry if I didn't

Step-by-step explanation:

Plz help...it’s a math question and I suck at math would mean a lot to me thx <3

Answers

Answer:

Read below

Step-by-step explanation:

11. YX = 4.5

    RQ corresponds to ZY. If RQ is 4 and ZY is 3, then ΔQRP was dilated by  0.75 to form ΔYZX. (3/4 = 0.75). Using this knowledge, we can find the length of YX by multiplying 6 by 0.75. (YX corresponds to QP). 6 × 0.75 = 4.5.

12. 55°

    All of a triangle's angles must add up to 180°. ∠Q is 88°. ∠Z is 37°. ∠Z is congruent to ∠R because corresponding angles in similar triangles are congruent. So, 88° + 37° = 125°. We need to get to 180°, so 180° - 125° = 55°.

13. 4.2

    BC corresponds to DF. We need to find the scale factor, so divide 2.7 by 3.6. That equals 0.75. AC corresponds to EF. EF is 5.6, so multiply 5.6 by 0.75. That equals 4.2.

I hope this helps :))

please help me I’m struggling :( , sorry about it being sideways.

Answers

The answer is graph C

An ice cream truck that plays loud music is circling Bulans neighborhood. C(t) models the volume of the music in dB that Bulan hears, t minutes after the truck arrives in her neighborhood. Here T is entered in radians C(t)=-15cos(2pi/15t)+65 how many minutes after te truck arrives does the volume reach 75

Answers

Answer:

  5.5 minutes

Step-by-step explanation:

Fill in the given information and solve for t.

  75 = -15cos(2πt/15) +65

  -10/15 = cos(2πt/15)

  t = 15/(2π)arccos(-2/3) ≈ 5.492

The volume reaches 75 dB about 5.5 minutes after the truck arrives.

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