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

Answer:

y = -2x + 8

Step-by-step 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

$y=-2x+8$