Question

The slope of a line is -3/2. One point if the line is (-5,2). Another point of the line is (3,p). Find P.

Answer 1

ANSWER

p = -10

EXPLANATION

The formula for the slope of a line that passes through points (x1, y1) and (x2, y2) is:

$m=\frac{y_1-y_2}{x_1-x_2}$

In this problem we know the slope, one point and the x-coordinate of the other point. We have to find its y-coordinate:

$-\frac{3}{2}=\frac{p-2}{3-(-5)}$

Solving for p:

$\begin{gathered} -\frac{3}{2}=\frac{p-2}{3+5} \\ -\frac{3}{2}=\frac{p-2}{8} \\ p-2=-\frac{3}{2}\cdot8 \\ p-2=-12 \\ p=-12+2 \\ p=-10 \end{gathered}$