SOLUTION: Line l runs through points (0, 3) and (–2, 0). Which of the following equations represents a line perpendicular to line l?

Algebra ->  Linear-equations -> SOLUTION: Line l runs through points (0, 3) and (–2, 0). Which of the following equations represents a line perpendicular to line l?      Log On


   

Question 226057: Line l runs through points (0, 3) and (–2, 0). Which of the following equations represents a line perpendicular to line l?
Answer by LtAurora(115) About Me  (Show Source):
You can put this solution on YOUR website!
Find the slope with:
m=%28y_1-y_2%29%2F%28x_1-x_2%29
So, plug in our values:
m=%283-0%29%2F%280-%28-2%29%29
Simplify"
m=3%2F2
So, and line that has an inverse and negative of this slope will be perpendicular to it.
Thus, you're looking for a line with a slope of -2%2F3.