Question

Write the equation of the line in slope-intercept form that passes through

the point (-3, 5) and is parallel to y = -2/3 x

Answer 1

y= -2/3x+3

Explanation:

Parallel lines have the same slope but different y-intercepts.

y=-2/3x is your original equation

Your slope is still -2/3

y=mx+b

y=-2/3x + b

Substitute the points from the coordinates

5 = -2/3(-3) + b

5 = 2 + b

-2 -2

b=3

Your parallel line equation is: y= -2/3x+3

Have a great day!