Answer:
y = -3 * x + 5
Step-by-step explanation:
We start with the equation for slope-intercept y = mx + b -
Y is any y point on the line. X is any x point on the line. M is the slope of the line. B is the y-intercept of the line.
We first find the slope by using this equation (y2 - y1) / (x2 - x1) -
(8 - (-1)) / ((-1) - 2)
9 / (-3)
Slope = -3
Now we insert the slope into the equation -
y = -3 * x + b
As said before, Y is any y point on the line and X is any x point on the line, so we can choose a random point and insert it in to find the y-intercept -
-1 = -3 * 2 + b
-1 = -6 + b
b = 5
The y-intercept of the line is (0, 5)
We insert the y-intercept in the equation -
y = -3 * x + 5
y = -3 * x + 5 is our answer to the problem.
