Line equation in slope and intercept form:
y = mx + b
slope = m = (y2 - y1)/(x2 - x1)
In this case:
m = (-4 - 4)/(5 -2) = -8/3
m = -8/3
Using the first point in the line equation we will find the value of b:
y = mx + b
b = y - mx
b = 4 - (-8/3)(2) = 4 - 16/3 = (12 - 16)/3 = -4/3
b = -4/3
Answer:
y = (-8/3)x - 4/3
