Question

How do you find the slope of y= -5/2x-5?

Answer 1

See the entire explanation below.

Explanation:

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.

Because this equation is already in the slope-intercept form we can extract the slope directly from the equation.

`y = color(red)(-5/2)x - color(blue)(5)`

Therefore the slope is `color(red)(m = -5/2)`