Question

The slope of the line below is -2. Use the coordinates of the labeled point to

find a point-slope equation of the line.
•
4
-6)

Answer 1

Answer: y= -2x+2

Step-by-step explanation: y-y₁=m(x-x₁)

y-(-6)= -2(x-4)

y+6=-2x+8

y=-2x+8-6

y= -2x+2

Answer 2

y + 6 = -2(x - 4)

Explanation:

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

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

m - slope

We have the slope m = -2 and the point (4, -6). Substitute:

`y-(-6)=-2(x-4)\\\\y+6=-2(x-4)`