What is the slope of a line that is perpendicular to the line represented by the equation x - y = 8?

-1

Step-by-step explanation:

Given equation of line is:

x - y = 8

In order to find the slope of other line we have to convert the given equation in standard form

So,

-y = - x + 8

Multiplying the equation with - 1

y = x - 8

The co-efficient of x is the slope of the line.

Here the co-efficient is 1 so the slop of line is 1.

We know that the producct of slopes of perpendicular lines is - 1.

Let m2 be the slope of the other line then

1 * m2 = - 1

m2 = - 1

So the slope of line perpendicular to line x-y = 8 will be: - 1 ...