Answer:
[tex]m=\frac{4}{5}[/tex]
Step-by-step explanation:
You can calculate the slope with just 2 points, so find 2 points on the line that land perfectly on the grid.
I'll use (-2, 0) and (3, 4) here
To calculate slope:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
where (x1, y1) is your first point and (x2, y2) is your second. Technically they can go in any order, but I think its generally easier to consider first-to-last as left-to-right.
Plug in those 2 points and solve:
[tex]m=\frac{4-0}{3--2}\\m=\frac{4}{5}[/tex]
Think of slope as rise over run. A slope of [tex]\frac{4}{5}[/tex] means it rises 4, and goes over 5. It's also literally rise over run, as the top number (rise) is over the bottom number (run).
