Question

What is the slope of the line ?

Answer 1

`m=(4)/(5)`

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:

`m=(y2-y1)/(x2-x1)`

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:

`m=(4-0)/(3--2)\\m=(4)/(5)`

Think of slope as rise over run. A slope of
`(4)/(5)` 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).