Question

HELP ME PLEASE ‼️‼️‼️ the answers are on the picture!!!

Answer 1

The point-slope form equation for this line is y₁ - 9 = 4 (x₁ - 1), or D.

Since these are all in point-slope form, all we need to do is find the slope and then input one value of (x, y) into the points. We start with the slope.

m = $\frac{y₁ - y}{x₁ - x}$

m = $\frac{3 - 9}{-2 -1}$

m = $\frac{-6}{-3}$

m = 2

Now we need to input the values of one of the points and slope into the point slope equation: y₁ - y = m(x₁ - x). 

Inputting (1, 9), we get

y₁ - 9 = 4 (x₁ - 1)

The equation that fits it is D., so that means that the only answer to this question is D.