Question

If a line can be represented by the equation y+2=13(x−12) , which of the following sets of points lies on the line?(1 point)Responses(12,−2) and (13,1) left parenthesis 12 comma negative 2 right parenthesis and left parenthesis 13 comma 1 right parenthesis(−12,2) and (−11,3) left parenthesis negative 12 comma 2 right parenthesis and left parenthesis negative 11 comma 3 right parenthesis(12,−2) and (15,−1) left parenthesis 12 comma negative 2 right parenthesis and left parenthesis 15 comma negative 1 right parenthesis(−12,2) and (−9,3)

Answer 1

Plug each point into y + 2 = 13(x − 12).

- (12, −2): y + 2 = −2 + 2 = 0, RHS = 13(12 − 12) = 0 → on the line.
- (13, 1): LHS = 1 + 2 = 3, RHS = 13(1) = 13 → not on the line.
- (15, −1): LHS = −1 + 2 = 1, RHS = 13(3) = 39 → not on the line.
- The other given points also do not satisfy the equation.

So with the equation exactly as written (slope 13), none of the answer choices contains two points that both lie on the line.

If the equation had a typo and was meant to be y + 2 = (1/3)(x − 12), then (12, −2) and (15, −1) would lie on the line — so choice "(12, −2) and (15, −1)" is likely the intended answer.