Question

What is the slope of a line that is perpendicular to the line y = 8x + 5?

Answer 1

perpendicular lines, slope is opposite and reciprocal
y = 8x + 5 has slope = 8
so perpendicular line slope = -1/8

answer
-1/8

Answer 2

Answer: $\dfrac{1}{8}$

Step-by-step explanation:

The given equation of a line : $y = 8x + 5$

We know that general Slope-intercept form of equation is given by :-

$y=mx+c$, where m is the slope of the line.

When we compare the given equation the general slope intercept form of equation , we get

Slope of line = 8

We know that the product of slopes of two perpendicular line is -1.

Let m be the slope of  line that is perpendicular to the line $y = 8x + 5$, then we have

$-8\times m=-1\\\\\Rightarrow\ m=\dfrac{1}{8}$