Question

write an equation in point slope form for the line through the given point that has the given slope (5,-8);m=-3

Answer 1

y-(-8)=-3(x-5)

y-(-8)=-3(x-5) Simplified- y= -3x+7

Explanation:

y+8=-3x+15

-8. -8

y= -3x+7

Answer 2

`y+8=-3(x-5)`

Explanation:

The equation of a line in the point-slope form is:

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

where m is the slope of the line and the point
`(x_1, y_1)` is a point that belongs to the line

In this case we know that the slope of the line is

`m = -3`

and a point that belongs to this line is (5, -8)

Then the equation of this line in the point-slope form is:

`y-(-8)=-3(x-5)`

`y+8=-3(x-5)`