Answer: y = x - 3
First, find two points on the graph:
- (x₁, y₁) = (3, 0)
- (x₂, y₂) = (0, -3)
Substitute in the points to the slope formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] to find the slope:
[tex]\frac{y_2-y_1}{x_2-x_1}=\frac{-3-0}{0-3}=\frac{-3}{-3}=1[/tex]
Substitute in a point to the function [tex]y=1x+b[/tex] to find the y-intercept(b):
[tex]-3=1(0)+b\\b=-3[/tex]
Therefore, the function is:
[tex]y=x-3[/tex]
