Question

How do you find the slope that is perpendicular to the line `y=x-3`?

Answer 1

See the entire solution process below:

Explanation:

The equation given in the problem is in slope intercept form. The slope-intercept form of a linear equation is: `y = color(red)(m)x + color(blue)(b)`

Where `color(red)(m)` is the slope and `color(blue)(b)` is the y-intercept value.

For this problem:

`y = color(red)(1)x - color(blue)(3)`

Therefore the slope is: `color(red)(m = 1)`

Let's call the slope of the perpendicular line `m_p`

The slope of a perpendicular line is: `m_p = -1/m`

For this problem then:

`m_p = -1/1 = -1`