Question

What is the point-slope form of the line that passes through (1,1) and (3,5)?

Answer 1

Slope: `2`

Explanation:

The formula for slope given points `(x_1, y_1)` and `(x_2, y_2)`, the formula for slope is `(y_2-y_1)/(x_2-x_1)`.

Since rise is change in `y` and run is change in `x`, this is also seen as `(rise)/(run)`.

For your points, you would simply plug into the formula.

`(5-1)/(3-1)`

= `4/2`

= `2`, which is your slope.