Question

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

Answer 1

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 = 4/5 xx 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 = 4/5x -9`