Question

How do you find the slope of (3,4)(4,6)?

Answer 1

`m=2`

Explanation:

We can use the gradient formula to solve this. In this we will call `(4,6)` point 2, and `(3,4)` point 1. Note that it doesn't matter which one we call point 1 or point 2, the answer will be the same

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

In the formula, (x1,y1) are the coordinates of the first point, (x2,y2) are the coordinates of the second point. `m` is the slope, and is what we're trying to find.

`m = (6-4)/(4-3)`
`m = 2`

As a side note, this works because gradient is calculated as rise/run, so we can calculate rise by how much it changes along the y axis, and the run by how far it moves along the x axis