Question

A coordinate plane with a line passing through (negative 3, 0), (0, negative 2) and (3, negative 4).
What is the equation of the graphed line written in standard form?

2x + 3y = –6
2x + 3y = 6
y equals negative StartFraction 2 Over 3 EndFraction x minus 2.
y equals StartFraction 2 Over 3 EndFraction x minus 2.

Answer 1

Find the slope: m = (−2 − 0)/(0 − (−3)) = −2/3.
Using (0, −2) gives y = (−2/3)x − 2. Multiply by 3: 3y = −2x − 6 → 2x + 3y = −6.

Answer: 2x + 3y = −6.