Question

What is the slope, m, of the line passing through the coordinates (3, 1) and (2, -3)?

Answer 1

`m=4`

Skills needed: Linear Equations, Algebra

Explanation:

1) We are trying to find the slope of a line given two coordinate pairs.

They are:
`(3, 1)` and
`(2, -3)`

Think of these two coordinate pairs as:
`(x_1, y_1)` and
`(x_2, y_2)`

The formula for slope would be:
`(y_2-y_1)/(x_2-x_1)` or
`\frac{\triangle{y}}{\triangle{x}}` (the second one says change in y over change in x)

2) So let's assign values:

`3` is
`x_1`

`1` is
`y_1`

`2` is
`x_2`

`-3` is
`y_2`

Slope would be:
`(-3-1)/(2-3) = (-4)/(-1) = 4`

Therefore
`m=4`.

================================================================== Hope you understood and have a nice day!