# How do you write the equation in slope intercept form given slope -4/5, passing through (5,-5)?

Apr 22, 2018

the slope intercept equation is y = mx + b
Substitute the values of (x,y) from the point to solve for b.

#### Explanation:

The slope is m in the y=mx +b form ( Think m mountain ski slope)
The y intercept is b ( think beginning)

Substituting the values ( 5,-5) into the equation gives.

$- 5 = \frac{4}{5} \times 5 + b$ multiplying gives

$- 5 = 4 + b$ subtracting 4 from both sides gives

$- 5 - 4 = 4 - 4 + b$ which equals

$- 9 = b$ Now put the b value into the equation

$y = \frac{4}{5} x - 9$