Question

Write the equation of the line parallel to
y=-2/3x+4 and through the point (–3, 15)

Answer 1

y=-2/3x+17

Explanation:

y=-2/3x+4

slope of that line is -2/3

y-y1=m(x-x1)

(-3,15)

y-15=-2/3(x-(-3))

y-15=-2/3x+2

y=-2/3x+17

Answer 2

Parallel = same slope
y = -2/3x + b
Plug in point
15 = -2/3(-3) + b
15 = 2 + b, b = 13
Solution: y = -2/3x + 13