Question

How do you find the slope of the line through (2, -1) and (-3, 4)?

Answer 1

Use the formula for slope of a line through two points to find slope `= -1`

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) = (2,-1)` and `(x_2, y_2) = (-3, 4)`.

Then

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