Question

What is an equation of the line that passes through the point (-3, 4) and is parallel

to the line 2x – 3y = 15?

Answer 1

y = 2/3x + 6

Explanation:

If two lines are parallel, that means their slopes are the same.

Rewrite 2x - 3y = 15 to y = 2/3x - 5

The slope is 2/3, so the answer should have a slope of 2/3 as well.

The equation is now y = 2/3x + b

To find b, substitute (-3,4)

y = 2/3x + b

4 = 2/3(-3) + b

4 = -2 + b

6 = b

So the equation is y = 2/3x + 6