What is the slope of the line Perpendicular to y = 1/4X - 10

Answer 1

the equation is in the form y=mx+b

so y=(1/4)x -10

First find the the slope of the line which is the value being multiplied by x. Therefore m=1/4

To find the slope perpendicular to the line you must find the negative reciprocal of 1/4. (Which just means change the sign then flip the fraction)

First multiply 1/4 by -1 which is -1/4

Then flip the fraction and keep the sign with numerator to find the reciprocal. So now it’s -4/1

The answer is -4/1 bc the slope that is perpendicular is always the negative reciprocal of the original slope.

I hope this helps!

Mrs. S.

Answer 2

the slope of a perpendicular line is the opposite reciprocal.

There for m=1/4

perpendicular m = -4