Question

Which equation would show a line passing through the points (0,−6)and (2,−3)?
A. 𝑦=−23𝑥−6
B. 𝑦=−32𝑥−6
C. 𝑦=32𝑥−6
D. 𝑦=−2𝑥−3


I just need help to understand this question please and thank you!

Answer 1

slope = (-3+6) / (2-0) = 3/2
so
y = (3/2)x +b
if x = 0, y = b = -6
s0
y = (3/2) x - 6

Answer 2

by the way, sketch a graph :)