Answer:
y = 2/3x + 2/3
point-slope form: y - 4 = 2/3x - 10/3
Step-by-step explanation:
1. Find the slope; (change in the y-values)/(change in the x-values)
slope (m) = [4 - (-2)] / [5 - (-4)]
m = 6/9 = 2/3
2. Find "b" by using the slope and one of the given points and substitute into
y = mx + b
4 = 2/3(5) + b
4 = 10/3 + b
4 - 10/3 = b
2/3 = b
y = 2/3x + 2/3
use the point slope form [tex]y _ -y_{1} = m(x-x_{1} )[/tex] y - 4 = 2/3(x - 5)
y - 4 = 2/3x - 10/3
