Question

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

Answer 1

Answer:

The answer is option A

Step-by-step 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

$y - 2 = \frac{2}{3} (x - 12) \\ y - 2 = \frac{2}{3} x - 8 \\ y = \frac{2}{3} x - 8 + 2$

We have the final answer as

$y = \frac{2}{3} x - 6$

Hope this helps you

Answer 2

Answer:

hgiorjig

Step-by-step explanation: