Explanation:
Point slope form:
y - y1 = m(x - x1)
(x1, y1) is a point on the line and m = slope
To solve for point slope form, we can plug in both coordinates into the equation
-5 + 9 = m(3 - 2)
4 = m
Next, use one set of coordinates as (x1, y1)
y + 9 = 4(x - 2) <—- point slope form
slope intercept form is y = mx + b
Since we know the slope is 4 from the previous problem, we only have to find y-intercept b.
plus in a set of given coordinates for c and y and solve for b, then reassemble the equation:
-9 = 4(2) + b
-9 = 8 + b
-17 = b
Thus, slope intercept form is y = 4x - 17