SOLUTION: Write the equation of a line that is perpendicular to the given line and that passes through the given point. y-3 = 8/3(x+2); (-2,3)

Algebra ->  Expressions-with-variables -> SOLUTION: Write the equation of a line that is perpendicular to the given line and that passes through the given point. y-3 = 8/3(x+2); (-2,3)      Log On


   

Question 934244: Write the equation of a line that is perpendicular to the given line and that passes through the given point.
y-3 = 8/3(x+2); (-2,3)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Perpendicular lines have slopes that are negative reciprocals.
%288%2F3%29%2Am=-1
m=-3%2F8
Use the point-slope form of a line,
y-3=-%283%2F8%29%28x-%28-2%29%29
y-3=-%283%2F8%29%28x%2B2%29
y-3=-%283%2F8%29x-%283%2F4%29
y=-%283%2F8%29x-%283%2F4%29%2B12%2F4
highlight%28y=-%283%2F8%29x%2B9%2F4%29
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