Answer:
D. [tex]y+7=-3(x-5)[/tex]
Step-by-step explanation:
The given coordinates are (5,-7).
The given slope is [tex]m=-3[/tex]
The point-slope formula is
[tex]y-y_{1} =m(x-x_{1} )[/tex]
Replacing given values, we have
[tex]y-(-7)=-3(x-5)\\y+7=-3x+15\\y=-3x+15-7\\y=-3x+8[/tex]
So, the point-slope form is: [tex]y+7=-3(x-5)[/tex]
Therefore, the right answer is D.
