Answer:
y = 3x - 7
Step-by-step explanation:
Use the equation y = mx + b where y is the y value, m is the slope, x is the x value, and b is the y intercept.
First find the slope between the two points.
[tex]m = \frac{-1 - 5}{2 - 4} = \frac{- 6}{-2} = 3[/tex]
Choose a point and plug in the x value, y value, and m (slope) value in the equation to find the y intercept.
I will use the point (2, -1):
y = mx + b
-1 = (3)(2) + b
-1 = 6 + b
b = -7
Reassemble your equation with the slope and y intercept you found:
y = 3x -7
