Write an equation of the line that passes through (-3,4) and (0,0).

y = (-4/3) x

Step-by-step explanation:

Δy/Δx

(0-4) / (0 - (-3)) = - 4/3 = slope = m

mx + b = y ⇒ standard form

(-4/3) x + b = y

find b using (0,0)

(-4/3) (0) + b = 0

b = 0

therefore

y = (-4/3) x