# How do you find the slope and y intercept for y= -8/9x -10/3?

The slope of this equation is $\left(- \frac{8}{9}\right)$
The y-intercept is $\left(0 , \frac{- 10}{3}\right)$
The equation of a straight line can be represented in what we call the slope, intercept form, $y = m x + b$. When the equation is written in this form, the value of $m$ is the slope of the equation. The y-intercept is the value of $b$. By comparing your equation to the equation $y = m x + b$ we see that the value of $m$ (the slope) is $- \frac{8}{9}$. The value of $b$, (the y-intercept) is $- \frac{10}{9}$, which is represented by the ordered pair $\left(0 , \frac{- 10}{3}\right)$.