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Sholpan [36]
4 years ago
15

A line is perpendicular to y = 4x – 2

Mathematics
1 answer:
snow_tiger [21]4 years ago
4 0

Answer:

y=-\frac{1}{4}x-10

Step-by-step explanation:

If a line is perpendicular to a line that has slope m, then the slope of the line is -1 / m.

in this case, y=4x-2

∴ m=4 by comparing with y=mx+c

the slope of the perpendicular line is

m=-\frac{1}{4}

use the point-slope form: y-y_{0}=m(x-x_{0} )

the equation of the perpendicular line is

y+11=-\frac{1}{4}(x-4)=-\frac{1}{4}x+1\\y=-\frac{1}{4}x+1-11=-\frac{1}{4}x-10

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