SOLUTION: write the standard form of the equation of the line described through (-4,-5) perpendicular to y=-4/9x +2

Algebra ->  Coordinate-system -> SOLUTION: write the standard form of the equation of the line described through (-4,-5) perpendicular to y=-4/9x +2      Log On


   

Question 1090208: write the standard form of the equation of the line described
through (-4,-5) perpendicular to y=-4/9x +2
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Perpendicular lines have slope that are negative reciprocals,
-%284%2F9%29m%5B2%5D=-1
m%5B2%5D=9%2F4
So using the point-slope form,
y-%28-5%29=%289%2F4%29%28x-%28-4%29%29
y%2B5=%289%2F4%29%28x%2B4%29
y%2B5=%289%2F4%29x%2B9
highlight%28y=%289%2F4%29x%2B4%29
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