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

Mar 3, 2018

$y = - \frac{5}{4} x - 10$

Explanation:

Given Information
Slope $- \frac{5}{4}$
X-Intercept $- 8$

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

$y = - \frac{5}{4} \left(x\right)$
Substitute $- 8$ into $x$ to solve for $y$

$y = - \frac{5}{4} \left(- 8\right)$

$y = 10$

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 $y = - \frac{5}{4} x - 10$.