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 =

m =

m =

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.