SOLUTION: Find the equation of the line that contains the point(5,-7)and is perpendicular to the line containing the points (-4,9) and (3,6).

Algebra ->  Linear-equations -> SOLUTION: Find the equation of the line that contains the point(5,-7)and is perpendicular to the line containing the points (-4,9) and (3,6).      Log On


   

Question 804544: Find the equation of the line that contains the point(5,-7)and is perpendicular to the line containing the points (-4,9) and (3,6).
Answer by erica65404(394) About Me  (Show Source):
You can put this solution on YOUR website!
find slope
%286-9%29%2F%283-%28-4%29%29=3%2F7
a line perpendicular to that would have a slope of -7%2F3
y=%28-7%2F3%29x%2Bb
plug the point into the equation
-7=%28-7%2F3%295%2Bb
-7=-11%282%2F3%29%2Bb
4.66=b
the final equation is
y=%28-7%2F3%29x%2B4.66