Question

The point-slope form of a lone has a slope of -w and passes through point (-5,2) is shown below.

y+2=-2(x-5)
What is the equation in slope intercept form?

Answer 1

y = -2x + 8

Explanation:

The point-slope form of an equationo f a line:

`y-y_1=m(x-x_1)`

m - slope

We have

`y+2=-2(x-5)\\\\y-(-2)=-2(x-5)`

Therefore we have

the slope: m = -2

the point: (5, -2) not (-5, 2)!!!

The slope-intercept form of an equation of a line:

`y=mx+b`

m - slope

b - y-intercept

Convert:

`y+2=-2(x-5)` use the distributive property a(b + c) = ab + ac

`y+2=-2x+10` subtract 2 from both sides

`y=-2x+8`