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?

Question

asked Jan 14, 2020 92.5k views

1 Answer

Joextodd · Answer 1 · 2020-01-19T12:06:48+0000

Answer:

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