Question

What is the slope of (4,5) and (1,3)?

Answer 1

The slope is `2/3`.

Explanation:

If a line passes through two points `(x_1, y_1)` and `(x_2, y_2)` then its slope `m` is given by the formula:

`m = (Delta y)/(Delta x) = (y_2 - y_1) / (x_2 - x_1)`

In our case, let `(x_1, y_1) = (4,5)` and `(x_2, y_2) = (1, 3)`.

Then

`m = (y_2 - y_1) / (x_2 - x_1) = (3-5)/(1-4) = (-2)/(-3) = 2/3`