Answer: The equation of the blue line is [tex]y=-x-1[/tex]
Step-by-step explanation:
Step 1: First we find the y intercept
As we can see in the image, the y intercept is -1 because the line is on -1.
Step 2: Now we find the slope, note that slope is your (rise/run)
If we pick any random two points on the line such as (-2, 1) and (0, -1) we can count 2 points down from (-2,1) and run 2 points over to get to our next point- (0,-1).
Since the rise was -2 and the run was 2 the slope is -1 but thats the same thing as -x.
Thus the equation of the line is y=-x-1
