SOLUTION: write an equation of the line that is perpendicular to the given line and passes through the given point. y=6x+10; (0, -4)

Algebra ->  Test -> SOLUTION: write an equation of the line that is perpendicular to the given line and passes through the given point. y=6x+10; (0, -4)      Log On


   

Question 683480: write an equation of the line that is perpendicular to the given line and passes through the given point. y=6x+10; (0, -4)
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Perpendicular lines have a negative inverse, reciprocal, slope.
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Using the line y = 6x+10, the slope is 6
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A perpendicular line will have a slope of -1%2F6
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use the slope and point (0, -4) to find the equation via point-slope
y - -4 = -1%2F6(x-0)
y + 4 = -1%2F6x
highlight_green%28y=%28-1%2F6%29x+-+4%29
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graph%28300%2C200%2C-10%2C10%2C-10%2C14%2C6x%2B10%2C%28-1%2F6%29x-4%29
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