Question

Which equation represents the line that passes through the points (–3, 7) and (9, –1)?
y = negative two-thirds x + 5
y = negative two-thirds x minus 7
y = two-thirds x minus 7
y = two-thirds x + 5

Answer 1

Compute the slope: m = (−1 − 7)/(9 − (−3)) = −8/12 = −2/3.
Use (−3, 7): 7 = (−2/3)(−3) + b → 7 = 2 + b → b = 5.

So the equation is y = −(2/3)x + 5.