Answer :

Answer:

y=-x-1

The y-intercept is -1, as shown and the line is negative.

Rise and run are both 1, so slope = -1 (because of negative line)

That gives us:

y=-x-1

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