# How do you find slope and y-intercept of -5x=8y?

Aug 19, 2016

Put the equation into the form y = mx + b:
Where m = the slope and b = the y intercept.

#### Explanation:

Write the equation as $8 y = - 5 x$ This puts $y$ on the left side of the equation.

Then solve for $y$ by dividing both sides by 8.

$\frac{8}{8} \times y = - \frac{5}{8} \times x \text{ } \frac{8}{8} = 1$

y = $- \frac{5}{8} \times x$

$m = - \frac{5}{8}$ so the slope is $- \frac{5}{8}$

(Think m = mountain slope , the angle of the line)

$b = 0$ so the $y$- intercept is at $\left(0 , 0\right)$

(Think b = the beginning, the place where the line starts.)