Find the equation of line that passes through the points (2.0) and (4.6). Write the equation in slope-intercept form

Answers

Answer 1

Answer:

y = 3x - 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, 0) and (x₂, y₂ ) = (4, 6)

m = [tex]\frac{6-0}{4-2}[/tex] = [tex]\frac{6}{2}[/tex] = 3, then

y = 3x + c ← is the partial equation

To find c, substitute either of the 2 points into the partial equation

Using (2, 0 ) , then

0 = 6 + c ⇒ c = 0 - 6 = - 6

y = 3x - 6 ← equation of line


Related Questions

4r + 5y = 10
- 1 - 8 = 3y

Answers

Answer:

y = -3, r = 25/4

Step-by-step explanation:

4r+5y = 10

-1 - 8 = 3y <--- This can be simplified to:

-9 = 3y

-3 = y

Now we plug -3 into y in the first equation

4r + 5y = 10

4r + 5(-3) = 10

4r - 15 = 10

4r = 25

r = 25/4

Solve the following and check for extraneous solutions
√4x + 8= x+ 3

Answers

Answer:

X=-5

Step-by-step explanation:

√4x+8=x+3

Simplifies to:

2x+8=x+3

Let's solve your equation step-by-step.

2x+8=x+3

Step 1: Subtract x from both sides.

2x+8−x=x+3−x

x+8=3

Step 2: Subtract 8 from both sides.

x+8−8=3−8

x=−5

PLEASE HELP ME WITH THESE !!!

Answers

Answer:

T = 1     I = 5     R = 40

Step-by-step explanation:

Use cross multiply method or use scientific calculator to find it by shift solve method

Answer:

T= 1

I= 5

R= 40

Step-by-step explanation:

T: 28/7 = 4 so you should divide 7 by 7 to get t

I: 12/4 is 3 so you should divide 20 by 4 to get I

R: 36/9 is 4 so multiply 10 times 4 to get R

3(x + 5)2 + 6 vertex

Answers

Answer:

The equation does not match the form of any conic section.

Not a Conic Section

Step-by-step explanation:

If a sample has a small standard deviation, we can say the scores in the sample are.

Answers

If a sample has a small standard deviation, we can say the scores in the sample are consistent.

Standard deviation is a measure of dispersion. It measures the variation of the scores from the central value of the distribution.

A data is said to be consistent when this variation is less. Such data are easy to handle for studies.

When it is difficult to study the very large population, we choose samples from the population randomly. Each of these samples also have its own standard deviation. When this standard deviation is small, then the data is more consistent. That is, the scores in the sample goes well with those in the population.

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Troy invests $540 in a savings account that earns a simple interest
rate of 2.3% annually. How much money will Troy have in
the account after four years assuming he does not deposit or
withdraw any money?
please help:)

Answers

wish i could help bro bro.

Answer/step-by-step explanation:

Well, we first need to find out what 2.3 of $540 is.

540 x 2.3 = 1,242.

Now, we need to find what the yearly interest rate is over the course of four years.

1,242 x 4 = $4,968.

Therefore, Trey will have earned $4,968 after four years.

To complete this problem, we need to add this to his original balance, or $540.

4,968 + 540 = 5,508

Therefore, Trey would make a total of $5,508 after four years.

Hope this helps! :D

After a discount of 40%, the sale price of a ridepass at a fun park is $30 what was the orginal price​

Answers

30 divided by 0.40 = 75
The original price was $75

A Cuban restaurant
donates 225 meals each hour. How
many meals does the restaurant
donate in 12 hours?

Answers

Answer: 2700

Explanation:

1- (-16) and 11- (11) just in case this information is needed it's integers I'm doing this for extra credit

Answers

Answer:

?

Step-by-step explanation:

Which slope is the steepest?
y = 10x
y = 0.3x
y = 5x
y = 0.7x

Answers

Answer:

y = 10x

Step-by-step explanation:

*Remember the equation of a line is y = mx + b

Attached are each of the options graphed. As m increases, the slope becomes steeper. The blue line, y = 10x is the steepest of them all.

Hope this helps!

need helpppp i have no idea what to do

Answers

Answer:

Line 1 and Line 2: Perpendicular

Line 1 and Line 3: Neither

Line 2 and Line 3: Neither

Step-by-step explanation:

We will write all lines in slope intercept form i.e [tex]y=mx+b[/tex]

where m is slope.

And check

a) If two lines are parallel they have same slope [tex]m_1=m_2[/tex]

b) If two lines are perpendicular they have opposite reciprocal slopes i.e [tex]m_1=-\frac{1}{m_2}[/tex]

Equation for Line 1: [tex]y=-\frac{4}{3}x-4[/tex]

Already in slope-intercept form

Slope for Line 1 m is: [tex]\mathbf{m_1=-\frac{4}{3}}[/tex]

Equation for Line 2: [tex]6x-8y=-6[/tex]

Converting into slope-intercept form:

[tex]6x-8y=-6\\-8y=-6x-6\\y=\frac{-6x-6}{-8}\\y=\frac{-6x}{-8}+\frac{-6}{-8} \\y=\frac{3x}{4}+\frac{3}{4}[/tex]

Slope for Line 2 m is: [tex]\mathbf{m_2=\frac{3}{4}}[/tex]

Equation for Line 3: [tex]-4y=3x+7[/tex]

Converting into slope-intercept form:

[tex]-4y=3x+7\\y=-\frac{3}{4} -\frac{7}{4}[/tex]

Slope for Line 3 m is: [tex]\mathbf{m_3=-\frac{3}{4}}[/tex]

Now, finding answers

Line 1 and Line 2

Checking their slopes: [tex]\mathbf{m_1=-\frac{4}{3}}[/tex], [tex]\mathbf{m_2=\frac{3}{4}}[/tex]

Both lines are perpendicular because they have opposite reciprocal slopes

Line 1 and Line 3

Checking their slopes: [tex]\mathbf{m_1=-\frac{4}{3}}[/tex], [tex]\mathbf{m_3=-\frac{3}{4}}[/tex]

Slopes are neither same, nor opposite reciprocal, so they are neither

Line 2 and Line 3

Checking their slopes: [tex]\mathbf{m_2=\frac{3}{4}}[/tex], [tex]\mathbf{m_3=-\frac{3}{4}}[/tex]

Slopes are neither same, nor opposite reciprocal, so they are neither

The answers are:

Line 1 and Line 2: Perpendicular

Line 1 and Line 3: Neither

Line 2 and Line 3: Neither

4 x 100 + 8 x 10 + 9 x 1 + 8 x (1/100) + 5 x (1/1,000) in standard form.

Answers

What’s standard form again? I forgot

for what base-6 digit $d$ is $2dd5 6$ divisible by the base 10 number 11? (here $2dd5 6$ represents a base-6 number whose first digit is 2, whose last digit is 5, and whose middle two digits are both equal to $d$).

Answers

The digits base is 7 then we should convert them into base 6.

The exponent or power to which a base must be raised to yield a given number. Expressed mathematically, x is the logarithm of n to the base b if bx = n, in which case one writes x = logbn.

Here the conclusion is that there are many bases in the mathematics so what will happen is that we should convert these bases. For example, we have to convert base 10 of a number which is called decimal number can be converted into binary number whose base is 2 and after then if the digits base is 7 then we should convert them into base 6.

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determine the slope of the lines.
line 1: y=9
line 2: x=-3
are the slopes parallel, perpendicular, or neither?

Answers

i think it’s perpendicular

John and his best friend found some money. They split the money evenly, each getting $14. How much money did they find?

Answers

Answer:

$28

Step-by-step explanation:

John and his best friend each got $14, so in total there are $14+$14=$28.

Answer:

$28

Step-by-step explanation:

If they split the money evenly then both of them got half.

So, multiply 14 by 2 to find the answer:

(14)(2) = 28

John and his best friend found a total of $28.

I hope this helps!!

- Kay :)

Pls help I’m stuck on this question and I can’t figure it out! Will give brainliest!

Answers

Answer:

A, C, and D

Step-by-step explanation:

Parent function of y = x will be all linear equations that have the x variable with the exponent equal to one.

Answer:

A, C, and D.

Step-by-step explanation:

the other answer is not correct because i pressed on this to help you because  my teacher actally just tought me that and so she just tought us (my class)

about this and she used this question for an example and she used that other answer and asked which ones where correct and i said A, C, And D.

and guess what? i got it correct! so trust me, you gotta do A, C, and D. i hope that helps you and please mark me brainlist have a nice day.


What is the value of y?

A. 10
B. 110
C. 85
D. 55

Answers

Answer:

D. 55°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Geometry

All angles in a triangle add up to 180°

Step-by-step explanation:

Step 1: Set Up Equation

40° + (y + 30)° + y° = 180°

Step 2: Solve for y

Combine like terms:                    2y° + 70° = 180°Isolate y term:                              2y° = 110°Isolate y:                                       y° = 55°
D. 55
Explanation: 3 angles of a triangle must equal 180 so use the formula 180=(angle 1) +(angle 2) +(angle 3)
180=(40)+(y)+(y+30)
Test every answer until you get 180=180
180=40+55+(55+30)
180=40+55+85
180=180
So the answer is 55

Which graph shows a non-proportional linear relationship between x and y?

Answers

A parabola does because it does

HELP ME PLZ BRAINLIST 4 U

Answers

Answer:

G

Step-by-step explanation:

I think its G because i counted the numbers...and i pretty sure its not a Negative so yah

Which relation is a function?


{(1, −1), (−2, 2), (−1, 2), (1, −2)}

{(1, 2), (2, 3), (3, 2), (2, 1)}​

{(1, 4), (2, 3), (3, 2), (4, 1)}

{(4, 2), (3, 3), (2, 4), (3, 2)}

Answers

Answer:

The answer to this question is B

Step-by-step explanation:

just believe

First answer gets brainiest

Answers

Answer:

52 degrees

Step-by-step explanation:

the sides are equal

Answer:

52 degrees

Step-by-step explanation:

since each side have one line, they are both equal, which means that x is also 52 degrees

hope this helps

take care

Multiply.

(1.6)⋅(−4.2)

A. −67.2


B. −6.72

C. 6.72

D. I don't know.

Answers

frist you multiply 1.6 with -4.2

If v2 = u2 + 2as, evaluate a when v = 5,
u = 2 and s = 7.​

Answers

Answer:

a = 3/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

v² = u² + 2as

v = 5

u = 2

s = 7

Step 2: Evaluate

Subtract u² on both sides:                    v² - u² = 2asDivide 2s on both sides:                       (v² - u²)/(2s) = aRewrite:                                                  a = (v² - u²)/(2s)Substitute:                                              a = (5² - 2²)/(2 · 7)Exponents:                                             a = (25 - 4)/(2 · 7)Multiply:                                                  a = (25 - 4)/14Subtract:                                                 a = 21/14Simplify:                                                  a = 3/2

math I need help please help

Answers

Answer:

whats the problem

Step-by-step explanation: ?

1. Find the probability if a computer randomly picks a letter in the phrase, “ YOU WILL ALWAYS BE MY BEST FRIEND.”
a. The letter E
b. The letter L
c. The complement of letter E
d. The complement of letter L

2. Find the odds if a computer randomly picks a letter in the phrase, “ YOU WILL ALWAYS BE MY BEST FRIEND.”
a. The letter E
b.The letter L

Answers

1 b , 2 a ...................

Find the midpoint of (2,-9) and (-4,-4)

Answers

(-1, -6.5). ************
The midpoint is (4,5)

find the equation of a circle with a center at (-1, 5) and a point on the circle is (4, 4). ( x 1) 2 ( y - 5) 2

Answers

The equation of a circle is x² + y²+ 2x - 10y = 0 with a center at (-1, 5).

What is the equation of a circle?

The equation of a circle with center (h,k) and radius r is :

r² = (x−h)² + (y−k)²

Given that a circle with a center at (-1, 5) and a point on the circle is (4, 4).

Since the circle passes through points (4, 4),

So the radius (r) of the circle is the distance between points (-1, 5) and (4, 4).

⇒ r² = (-1−4)² + (5−4)² = 25 + 1

⇒ r = √26

The center of the circle is given as (h,k) = (-1, 5)

So the equation of the circle is

⇒ r² = (x − h)² + (y − k)²

Substitute the values of r, h, and k in the above equation,

⇒ 26 = (x − (-1))² + (y −5)²

⇒ 26 = (x + 1)² + (y −5)²

⇒ 26 = x² + 2x +1 + y² - 10y + 25

⇒  x² + y²+ 2x - 10y = 0

Hence, the equation of a circle is x² + y²+ 2x - 10y = 0 with a center at (-1, 5).

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Factor the following polynomial.
98x3 – 18x

Answers

Answer:

2x(7x - 3)(7x +3)

Step-by-step explanation:

Find common factors between the 2 numbers:

98x^3 - 18x

2x(49x^2 - 9)

now find what numbers multiplied together is 49, and find what numbers added together equals 0 and the product is 3, 7 times 7 is 49 and 3(-3) = 9 while 3 - 3 = 0 so:

2x(7x - 3)(7x +3)

Answer: 2x(49x^2 - 9)


Steps:

First, find the GCF

GCF= 2x

Next, factor it out

2x(49x^2 - 9)


This is the furthest you can factor it

Emmet walks 0.4 miles on each trip to the park. How far will Emmet walk if he makes 4 trips to the park?
Miles

Answers

Emmet will walk 1. 6 miles if he makes 4 trips to the park

How to determine the value

From the information given, we have that;

Emmy walks 0. 4 miles per tripHe wants to walk 4 trips

It is important to note that proportion is the mathematical comparison of two numbers or elements

If 0. 4 miles is equivalent to 1 trip

Then x miles is equivalent to 4 trips

cross multiply

x = 0 . 4 × 4

Multiply through

x = 1. 6 miles

Thus, Emmet will walk 1. 6 miles if he makes 4 trips to the park

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what is the missing number of each unit rate?​

Answers

Hi
Check out the attached photo
For the one on the left I think it’s 2
2/1

For the one on the right I think it’s 3
3/1
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