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 = [tex] \frac{y₁ - y}{x₁ - x} [/tex]
m = [tex] \frac{3 - 9}{-2 -1} [/tex]
m = [tex] \frac{-6}{-3} [/tex]
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.
