Question

Which equation represents the line that passes through the points (–4, 3) and (2, –12)?

–9x + 2y = 42

x + 2y = 2

5x + 2y = –14

2x + 5y = 7

Answer 1

First find the slope: m = (−12 − 3)/(2 − (−4)) = −15/6 = −5/2.
Use point-slope with (−4, 3): y − 3 = (−5/2)(x + 4) → y = (−5/2)x − 7.
Multiply by 2: 5x + 2y = −14.

So the correct equation is: 5x + 2y = −14.