What is the equation of the line that passes through the point (8,4) and has a slope of 3/2 ?

What Is The Equation Of The Line That Passes Through The Point (8,4) And Has A Slope Of 3/2 ?

Answers

Answer 1

Answer:

y = [tex]\frac{3}{2}[/tex] x - 8

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 )

Here m = [tex]\frac{3}{2}[/tex] , thus

y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation

To find c substitute (8, 4) into the partial equation

4 = 12 + c ⇒ c = 4 - 12 = - 8

y = [tex]\frac{3}{2}[/tex] x - 8 ← equation of line

Answer 2

The equation of a line that has a slope of 3/2 and passes through (8, 4) can be written as:

[tex]y - 4 = \frac{3}{2} (x - 8)[/tex] (point-slope form) or

[tex]y = \frac{3}{2}x - 8[/tex] (slope-intercept form).

Given:

a point on a line: (8, 4)

slope of the line: 3/2

The equation of the line can be written in either point-slope form or slope-intercept form.

First, let's write the equation in point-slope form since we know one of the points and the slope.

Point-slope equation takes the form: y - b = m(x - a)

Where,

(8, 4) = (a, b), andm = 3/2

Substitute

[tex]y - 4 = \frac{3}{2} (x - 8)[/tex] =>> point-slope form.

Also, we can rewrite in slope-intercept form as follows:

[tex]y - 4 = \frac{3}{2} (x - 8)[/tex]

Open bracket

[tex]y - 4 = \frac{3}{2}x - 12[/tex]

Add 4 to both sides

[tex]y - 4 + 4 = \frac{3}{2}x - 12 + 4\\\\y = \frac{3}{2}x - 8[/tex](slope-intercept form)

Therefore, the equation of a line that has a slope of 3/2 and passes through (8, 4) can be written as:

[tex]y - 4 = \frac{3}{2} (x - 8)[/tex] (point-slope form) or

[tex]y = \frac{3}{2}x - 8[/tex] (slope-intercept form).

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https://brainly.com/question/13967935


Related Questions

What is the solution of the equation modeled below?

Answers

Answer:

3x+4=7x-8

Step-by-step explanation:

hoped it helped..

PLEASE HELP ITS EASY MATH AND FIRST ONE WHOS CORRECT WILL GET BRAINLIST

Write an equation in slope-intercept form of the line that passes through the given points.

X Y
-2 , 2

0 , 2

2 , 2

4 , 2

Answers

Here are the steps to the answer. Answer: y=x+2

Answer: I think it's y=2??????

Step-by-step explanation: The shop would be 0, so there would be no x. The slope is zero because the y value never changes.

(6th grade math)
adrian has 50$ she spent 12.45 at the movies and 10.19 at the bowling alley. how much money does she have left?

Answers

Answer:

$27.36

Step-by-step explanation:

To find how much she spent you add the costs of the movie and bowling alley: 22.64

Now you subtract that from the amount of money you had to get: 27.36

Hope this helps!

Answer:

Adrian has $27.36 left.

Step-by-step explanation:

First add up the total Adrian spent!

12.45 + 10.19 = 22.64

Now subtract that amount from $50

50.00 - 22.64 = 27.36

Therefore, Adrian has $27.36 left

use the elimination method to solve the system of equations. choose the correct ordered pair x-y=2 2x+3y=14

Answers

Answer:

x = 4

y = 2

Step-by-step explanation:

x - y = 2

   x = 2 + y

2x + 3y = 14

  2(2 + y) + 3y = 14

  4 + 2y + 3y = 14

  4 + 5y = 14

  5y = 10

   y = 2

x - y = 2

  x - 2 = 2

  x = 4

Answer:

4,2

Step-by-step explanation:

A necklace regularly sells for $25.00. The store advertises a 15% discount. What is the sale price of the necklace in dollars?

Answers

Answer:

$21.25

Step-by-step explanation:

100 - 15 = 85

25 * 0.85 = 21.25

find the two square roots of 400

Answers

Answer:

20 and -20

20^2 = 400

(-20)^2=400 since two negative is positive

-20 & 20 .. hope this helps a lot ;)

2x-3y=4 x+3y=29
A. ( - 11, 3)
B. (11, - 3)
C. (3, 11)
D. (11, 3)

Answers

Answer:

Step-by-step explanation:

2x-3y=4 x+3y=29

Hmmm I got (11,6) and I did it two different ways. Are these the only answers?

Answer:

(11, 6)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/eliminationSolving systems of equations by graphing

Step-by-step explanation:

Step 1: Define systems

2x - 3y = 4

x + 3y = 29

Step 2: Rewrite systems

2x - 3y = 4

x = 29 - 3y

Step 3: Solve for y

Substitute in x:                    2(29 - 3y) - 3y = 4Distribute 2:                        58 - 6y - 3y = 4Combine like terms:           58 - 9y = 4Isolate y term:                     -9y = -54Isolate y:                              y = 6

Step 4: Solve for x

Define:                         x + 3y = 29Substitute in y:            x + 3(6) = 29Multiply:                       x + 18 = 29Isolate x:                      x = 11

Step 5: Check

Graph the systems of equations to verify the solution set.

vendor sells h hot dogs and s sodas. If a hot dog costs twice as much as a soda, and if the vendor takes in a total of d dollars, how many cents does a soda cost?

Answers

Answer:

100d / (s+2h)

Step-by-step explanation:

Can somebody plz help answer these questions correctly. It’s about like dividing integers and tat type of stuff! Thanks
WILL MARK BRAINLIEST

Answers

Answer:

tytrugivffhet GG hfjeyrebrwryehyeujxhfr

put x^2+15x+56 and make it into a word problem!​

Answers

Kevin throws a ball from a point that is 56 ft above the ground. The height of the ball from the ground after “x” seconds is defined by the function h(x)= 40x + x^2

help first to answer gets brainlyset On a field trip, there are 3 chaperones for every 20 students. There are 92 people on the field trip. How many students are there?

Answers

Answer: There are 80 students.

Step-by-step explanation: 20x4=80

3x4=12

12+80=92


What is the slope of the line?

Answers

The slope of a line is rise/run. The formula is y=mx+b. But to find it on a graph you have to pin point 2 coordinate points. Doesn’t matter which ones they are. And then you have to put them in a y2-y1 over x2-x1 and that will give you slope.

Answer:

1

Step-by-step explanation:

uhh yeahh don't know lol ...

Answers

Answer:

for first blank its 1/3 and second blank is 5

Step-by-step explanation:

Answer:

y=-1/3x+5

Step-by-step explanation:

BRAINLIEST PLS

How many cups of white paint would be needed for just one batch?

Answers

Answer:

one white paint

Step-by-step explanation:

because if you use 1 whit paint on 1 yellow paint is either you get a little yellow pigment or light cream

Which describes the correct procedure when converting a number from scientific notation to standard notation if the power of 10 is -10? A .Move the decimal point to the left. B. Move the decimal point to the right. C. Move the decimal point to the right. D. Subtract 20 from the number.

Answers

Answer:

A. Move the decimal point to the left

Step-by-step explanation:

Given that:

The scientific notation = 10⁻¹⁰

Let recall;

That the standard notation usually took the form of an inverse:

For example;

Let say 10⁻¹ will be [tex]\dfrac{1}{10}[/tex] in scientific notation;

SO, [tex]\dfrac{1}{10} = 0.1[/tex]

Now; we are given 10⁻¹⁰ as a scientific notation,

To standard notation, we get:

[tex]10^{-10} = \dfrac{1}{100}[/tex]

= 0.01

Thus, it is true to say that the decimal point will be moved to the left side when converting a number from scientific notation to standard notation if the power of 10 is  -10.

If Tina rode her bike at a constant rate for the first three hours, what was Tina's average calories burned, in calories per hour, between hour 0 and hour 3?

Answers

Answer: 400 calories per hour

Step-by-step explanation:

Q: Tina recorded the number of calories she burned during a bike ride. The graph shows Tina’s calories burned, y, after x hours. If Tina rode her bike at a constant rate for the first three hours, what was Tina’s average calories burned, in calories per hour, between hour 0 and hour 3?

Expalanation: It is seen from the graph that her rate of burning calories increased to 1200 in the first three hours of riding and then remained constant for the rest of the period (2 extra hours).

Her rate of calorie use therefore would be given as: (total calorie used up) / (total hours spent riding for the period of usage)

This is given as: 1200 calories / 3 hours = 400 calories per hour.

A nutrition label on a can of tuna fish states that every 1/4 cup of tuna has 1/2 gram of fat. How many cups of tuna are there for every gram of fat?

Answers

Answer: 1/2 cups

Step-by-step explanation:

Given that:

Every 1/4 cup of tuna has 1/2 gram of fat

How many cups of tuna are there for every gram of fat:

Let cup of tuna for 1 gram of fat = t

Hence, If

1/4 cup of tuna = 1/2 cup of fat

t tuna = 1 cup of fat

Cross multiply :

1/2 t = (1/4 * 1)

1/2 t = 1/4

t = 1/4 ÷ 1/2

t = 1/4 * 2/1

t = 2/4

t = 1/2

Hence, 1/2 cups of tuna for every gram of fat

Can someone help me pls

Answers

Answer:

Step-by-step explanation:

1). ASA postulate of congruence

2). Triangles are congruent.

A bag of candy contained the flavors strawberry, orange, cherry, and lemon. Zelda drew each
piece of candy out of the bag and recorded the frequency of each.
Which candy's experimental probability is closest to its theoretical probability?

Answers

Answer: Strawberry

Step-by-step explanation: Strawberry has the highest candies so it has the highest chance of being pulled out.

There are 20 female performers in a dance recital. The ratio of men to women is 3:4. How many men are in
the dance recital?
There are
men in the dance recital.

Answers

Answer: 15

Step-by-step explanation: 3:4 5x4=20 5x3=15 15:20

Answer:

there are 15

men in the dance recital

Step-by-step explanation:

14x - 43 = 71 + 8x look for x show work please

Answers

Answer:

x=19

Step-by-step explanation:

14x-43=71+8x         problem

14x=114+8x           add 43 to both sides

6x=114              subtract 8x from both sides

x=19                 divide by 6 to both sides (114/6 =19) x=19

How many units are there

Answers

Answer:

There are 9 units

Step-by-step explanation:

ariana takes a handful of cookies and divides them evenly between her 3 kids. then she grabs one more cookie for each kid. if each kid got 4 total cookies. how many did she have in her original handful

Answers

Answer:

9 cookies in her original handful

Step-by-step explanation:

3 times 4 equals 12

12-3=9

Find the side indicated by the variable. Round to the nearest tenth.
PLEASE HELP

Answers

your anser would be 19

let me now if u have a questions have a nice day

and Thanks :)

The ratios 250 miles in 4 hours and 500 miles in 8 hours are equivalent.

Answers

Answer:

Yes, they are equivalent

Step-by-step explanation:

Case 1,

Distance = 250 miles

Time = 4 hours

Ratio = speed = distance/time

= 250 miles/4 hour

= 62.5 mph

Case 2,

Distance = 500 miles

Time = 8 hours

Ratio = speed = distance/time

= 500 miles/8 hour

= 62.5 mph

In both cases, the ratios 250 miles in 4 hours and 500 miles in 8 hours are equivalent.

Find the measures of ∠B and ∠C given that m∠B=(2.5x+6)∘ and m∠C=(7x−12)∘.

The figure shows triangle A B C. Side A B is congruent to side A C.


answers are one of the following
∠B = 4° and ∠C = 4°
∠B = 16° and ∠C = 16°
∠B = 20° and ∠C = 20°

Answers

Answer:

since AB=AC it is an isosceles triangle so ...

Step-by-step explanation:

angle B = angle C

2.5x + 6 = 7x - 12

4.5x = 18

therefore x = 4

substituting the value of x we get answer

angle B = 16

angle C = 16

What must be true in order for two triangles to be similar?

Answers

Answer:

All their angles must be equal and of the same ratio.

Step-by-step explanation:

Answer:

Equal Angles/Equal sides

Step-by-step explanation:

What expression gives the distance between the points (4,6) and (7,-3)?

Answers

Answer:

[tex]\sqrt{(-3^2-6)+(7^2-4^2)}[/tex]

Step-by-step explanation:

Use the form: [tex]\sqrt{(x^2-x^1)+(y2-y1)^2[/tex]

so: [tex]\sqrt{(-3^2-6)+(7^2-4^2)}[/tex]

By the distance formula,

[tex]d = \sqrt{( x_2 - x_1) {}^{2} + (y_2 - y_1 {)}^{2} }[/tex]

Here,

[tex]x_1 = 4[/tex]

[tex]y_1 = 6[/tex]

[tex]x_2 = 7[/tex]

[tex]y_2 = - 3[/tex]

Hence,

[tex]d = \sqrt{( {7 - 4)}^{2} + {( - 3 - 6)}^{2} } [/tex]

[tex]d = \sqrt{ {3}^{2} + ( - {9)}^{2} } [/tex]

[tex]d = \sqrt{9 + 81} [/tex]

[tex]d = \sqrt{90} [/tex]

A town has a population of 17,000 and grows at 3% every year. what will be the population after seven years, to the nearest whole number

Answers

Answer:

20570

Step-by-step explanation:

3% of 17,000 is 510 so 17,000+7(510)=20570

Answer:

3570

Step-by-step explanation:

Ach day of the week, Michael went to the bank and either deposited or withdrew money from his bank account. On Monday, he withdrew $10. On Tuesday, he deposited $3. On Wednesday, he deposited $4. On Thursday, he withdrew $15. On Friday, he withdrew $8.

Answers

Answer:

Total withdrawals=$33Total deposits= $7

Step-by-step explanation:

We are expected to determine the cash flow in the account

Step one:

given data

Total withdrawals

Monday=$10

Thursday=$15

Friday=$8

Total= 10+15+8=$33

Step two:

Total deposits

Tuesday=$3

Wendesday=$4

Total= 3+4

Total= $7

In all, this show that more money is leaving the account than entering the account

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