Question

If y = mx + b is the equation of a line perpendicular to the line y = 5x - 2, what is the value of m?

Answer 1

Answer:

m =$-\frac{1}{5}$

Step-by-step explanation:

If y = mx + b is the equation of a line perpendicular to the line y = 5x - 2,

we need to find the value of m

Given equation is$y = 5x - 2$

Lets find out the slope from the given equation, slope is the number attached with x

slope of the given line = 5

Slope of the perpendicular line = negative reciprocal of the slope of the given line

negative reciprocal of 5 is $-\frac{1}{5}$

Slope is the value of m

So the value of m =$-\frac{1}{5}$

Answer 2

The slope, m, of a line perpendicular to y = 5x - 2 is -1/5.