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Anna35 [415]
3 years ago
11

What is an equation of the line that is perpendicular to y=−4/5x+3 and passes through the point (4, 12) ?

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
3 0
The slope of the given line is -4/5.  The line perpendicular to that line will have a slope that is the opposite reciprocal.  In other words, the perpendicular slope will be 5/4.  If it passes through (4, 12), we have an x and a y value to use in y=mx+b.  y is 12, x is 4, and we have a slope of 5/4.  Filling in accordingly: 12= \frac{5}{4}(4)+b and 12 = 5 + b.  So b = 7.  Rewriting with our new slope and b value, y= \frac{5}{4}x+7.  And there you go!
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