SOLUTION: Find an equation of the line that satisfies the given conditions. Through (−5, 3); perpendicular to the line y = −1/2x + 9

Algebra ->  Graphs -> SOLUTION: Find an equation of the line that satisfies the given conditions. Through (−5, 3); perpendicular to the line y = −1/2x + 9      Log On


   

Question 1205715: Find an equation of the line that satisfies the given conditions.
Through
(−5, 3); perpendicular to the line y = −1/2x + 9
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

the line that satisfies the given conditions.
through (-5, 3)
perpendicular to the line y+=+-%281%2F2%29x+%2B+9
recall that perpendicular line have slopes negative reciprocal to each other
given line have a slope -%281%2F2%29, so perpendicular line will have a slope m=+-1%2F%28-%281%2F2%29%29=2
using point slope formula
y-y1=m%28x-x1%29...substitute slope and x1 and y1, coordinates of given point

y-3=2%28x-%28-5%29%29
y-3=2%28x%2B5%29
y-3=2x%2B10
y=2x%2B10%2B3
y=2x%2B13




Answer by ikleyn(52781) About Me  (Show Source):