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.
Step-by-step explanation: The slope for these coordinates is 3/5 because the difference between 5 and 8 is 3, and the difference between -3 and 5 is 5. The y intercept is 6.8 because only with this y intercept the line goes through the points.