Question

Which of the following is an equation of the line through (2,3) and (-1,-12)

A) y=1/5x+13/5
B) y=-1/5x+17/5
C) y=5x-7
D)y=-5x+7

Answer 1

The correct answer is C.

Explanation:

In order to find the line, we first need to find the slope. For that we use the slope formula.

m(slope) = (y2 - y1)/(x2 - x1)

m = (-12 - 3)/(-1 - 2)

m = -15/-3

m = 5

Now we put the slope and one of the points into point-slope form and solve for y.

y - y1 = m(x - x1)

y - 3 = 5(x - 2)

y - 3 = 5x - 10

y = 5x - 7