Question

Find the slope of a line that is perpendicular to the line
y = -1/8x +3​

Answer 1

The slope of a line that is perpendicular to the line

y = -1/8x +3​ will be: 8

Explanation:

Given the equation

y = -1/8x +3​

comparing the equation with the slope-intercept form

`y=mx+b`

Here,

• m is the slope

• y is the intercept

so the slope of the line is -1/8.

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so

The slope of the perpendicular line will be:

`(-1)/((-1)/(8))=8` ∵
`\mathrm{Apply\:the\:fraction\:rule}:\quad (1)/((b)/(c))=(c)/(b)`

Therefore, the slope of a line that is perpendicular to the line

y = -1/8x +3​ will be: 8