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

p = -10

Step-by-step explanation

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

`m=(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:

`-(3)/(2)=(p-2)/(3-(-5))`

Solving for p:

`\begin{gathered} -(3)/(2)=(p-2)/(3+5) \\ -(3)/(2)=(p-2)/(8) \\ p-2=-(3)/(2)\cdot8 \\ p-2=-12 \\ p=-12+2 \\ p=-10 \end{gathered}`