Answer:
y = -x - 2
Step-by-step explanation:
You can start with the equation of a line in the slope-intercept form.
y = mx + b
m = slope
b = y-intercept
Look at the graph to find the y-intercept. At what point on the y-axis does the graph intersect the y-axis? Answer: -2. The y-intercept is -2. The value of b is -2.
Now we hjave
y = mx + (2)
or simply
y = mx - 2
Now we need to find the slope.
The slope is the ratio of the rise (difference in y) over the run (difference in x).
Look at the point (6, -7) that is shown in your graph. Go up 1 unit vertically. That is a rise of 1. Now go left 1 unit horizontally. That is a run of -1.
slope = m = rise/run = 1/(-1) = 1
The slope is 1. Now we replace m with -1.
y = mx - 2
y = -1x - 2
y = x - 2
Answer: y = -x - 2