Question

How do you write the equation of the line with x intercept of -8 and slope of -5/4?

Answer 1

`y = -5/4x - 10`

Explanation:

Given Information
Slope `-5/4`
X-Intercept `-8`

You can substitute `-8` and solve for `y` to find the correct equation.

`y = -5/4(x)`
Substitute `-8` into `x` to solve for `y`

`y = -5/4(-8)`

`y = 10`

For this to work, you need to visualize if the line would pass through positive `10` by having the slope angle it does (negative) and it needs to pass through `-8`. It wouldn't, since the line would pass through instead positive `8` on the x-axis. So you need to flip `10` to be `-10`, making the equation be `y = -5/4x - 10`.