Answer:
y=-1/3x-8
Step-by-step explanation:
Here is the equation for slope-intercept form: y=mx+b
Ok first, let's find the y intercept, which is equal to b in slope-intercept form.
To find the y intercept, we need to look at the y axis. It is the point where the line touches it. The graph shows that the line touches the y axis at -8, so that is the y intercept, (0, -8).
Now, from that point, we need to find the slope, which is equal to m in slope-intercept form.
To find the slope, start on the point that you are on, which should be the y intercept, and count how many spaces you need to go up or down, and then left or right until you get to any other point on the line. These are called the rise (change in y) and run (change in x) respectively. The slope is equal to the rise over the run, or rise/run.
In this case, we can choose any point on the line that is shown on the graph that isn't the y intercept. I'll chose the point on the right nearest to the y intercept. From the point we are on, which is (-8,0), we will need to move one space down and three to the right.
One space down on the y axis is -1, and three spaces to the right on the x axis is +3, so our slope will be -1/+3, which is -1/3.
Let's go back to the slope-intercept form. y=mx+b. Now we can plug our information in.
We know the y intercept is -8, which is b,
and we know the slope is -1/3, which is m.
So substituting for b and m, we get y=-1/3x-8.
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