SOLUTION: Find the equation of a line perpendicular to 2x-5y=10 passes through the points (3,-1)
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Question 668181: Find the equation of a line perpendicular to 2x-5y=10 passes through the points (3,-1)
Answer by ReadingBoosters(3246) (Show Source): You can put this solution on YOUR website!
Perpendicular lines have a negative inverse slope.
...
Using 2x -5y = 10 rewritten as y =
The slope is
...
The slope of the perpendicular line will be -
Using this slope and the point (3, -1), solve for y-intercept, b.
-1 = -3 + b
Isolate b
b = -1 + =
...
The linear equation of the perpendicular line is
...
Red line: y = -x + 4
Green line: y =
...
............
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