Question

the slope of the line below is -3. Use the coordinates of the labeled point to find a point slope equation of the line.

Answer 1

Your answer is: y-5 = -3(x + 7)

Answer 2

D.
`y+7=-3(x-5)`

Explanation:

The given coordinates are (5,-7).

The given slope is
`m=-3`

The point-slope formula is

`y-y_(1) =m(x-x_(1) )`

Replacing given values, we have

`y-(-7)=-3(x-5)\\y+7=-3x+15\\y=-3x+15-7\\y=-3x+8`

So, the point-slope form is:
`y+7=-3(x-5)`

Therefore, the right answer is D.