Question

Write the slope-intercept form of the given line. Include your work in your final answer.

Answer 1

Step 1: Find the slope:
To find the slope, find two points on the graph and count the “rise over run” between the points.
Two points here are (0,-1) and (2,1). To get from (0,-1) to the other point, you need to go “up 2” and then “right 2”. This means your slope is 2/2 or 1.

Step 2: Find the y-intercept:
We can see the y-intercept is (0,-1) on the graph. We’ll use the “-1” from that point for our equation.

Step 3: Put it all together:
The slope-intercept form is y=mx+b, where m is the slope and b is from the y-intercept.
Putting Step 1 and Step 2 into play, we have:
y = x - 1

Note: since m=1, we don’t need to write y = 1x -1. That 1 on the 1x is unnecessary.