Answer:
slope = 2
Step-by-step explanation:
Find 2 points on the line that land perfectly on the grid. I'll choose these 2 here:
(-2, -1) and (0, 3)
Rise is the change in the y value from one point to the other, and run is the change in the x. Looking at these 2 points, y went from -1 to 3. That is a rise of 4. The x went from -2 to 0, so that is a run of 2. "rise over run" means rise literally over run in a fraction like this:
[tex]m=\frac{rise}{run}[/tex]
The more proper way to calculate slope looks like this, but it's really the same thing in the end:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
where (x1, y1) and (x2, y2) are your 2 points.
Finally, the slope of this line is:
[tex]m=\frac{3--1}{0--2}\\\\m=\frac{4}{2}\\\\m=2[/tex]
That's a rise of 4 over a run of 2, and that simplifies to just a slope of 2.
