Question

What is the equation of a line that is parallel to y=2/3x-7 and passes through (12,2)?

Group of answer choices

A. y=2/3x-6

B. y=2/3x+12

C. y=2/3x-7

D. y=-3/2x+12

Answer 1

The answer is option A

Explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

From the question the original line is

y = 2/3x - 7

Comparing with the general equation above

Slope = 2/3

Since the lines are parallel their slope are also the same

Slope of parallel line = 2/3

So the equation of the line using point

(12 , 2 ) and slope 2/3 is

`y - 2 = (2)/(3) (x - 12) \\ y - 2 = (2)/(3) x - 8 \\ y = (2)/(3) x - 8 + 2`

We have the final answer as

`y = (2)/(3) x - 6 \\`

Hope this helps you