Question

Write the equation of the line in fully simplified slope-intercept form.

12
11
Ag 987 OS 32 -
10
-12-11-10-9-8-7-6-5-4-3-2-1 1 2 3 4 5 6 7 8 9 10 11 12
-2
-3
-4
11
12

Answer 1

y=3x-8

Explanation:

Slope -intercept form is y=mx+b.

M represents the slope; b represents the y-intercept.

First, let's find the y-intercept.

It'll be found on the y-axis on the graph.

If you go down the y-axis, you'll see that -8 is the only point to be directly on the y-axis, so we can assume that that's the y-intercept.

Thus, the B in the equation is -8.

Now, let's find the slope.

You can think of it as rise over run. The rise is how many numbers the y-intercept either goes up or down until it can cross over to the x-axis. Crossing sideways is the run that's located on the x-axis.

You can begin from -8 and either count downward or upward.

For the sake of this graph, we'll go upward.

Do you see the dot on the coordinate (1,-5)?

Count upward and go to the side to get to that coordinate.

I count three upward and one to the right.

So as a fraction that would be 3 over 1 or 3/1.

But you can simplify that to just 3.

Thus, the M in the equation is 3.

Hence, y=3x-8.

Hope this helps.