SOLUTION: find an equation of the line passing through the point O(7,-3) and perpendicular for the line 2x-5y=8.

Algebra ->  Linear-equations -> SOLUTION: find an equation of the line passing through the point O(7,-3) and perpendicular for the line 2x-5y=8.      Log On


   

Question 931472: find an equation of the line passing through the point O(7,-3) and perpendicular for the line 2x-5y=8.
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
the line passing through the point O(7,-3) and perpendicular for the line 2x-5y=8
y=%282%2F5%29x-8%2F5 => slope is %282%2F5%29 and y-intercept is b=-8%2F5

perpendicular line should have a slope negative reciprocal of %282%2F5%29 which is -1%2F%282%2F5%29=-5%2F2
then your equation is: y=-%285%2F2%29x%2Bb
use given point to find b
-3=-%285%2F2%297%2Bb
-3%2B%285%2F2%297=b
-6%2F2%2B35%2F2=b
29%2F2=b

y=-%285%2F2%29x%2B29%2F2