Question

Using the slope formula, find the slope of the line through the given points.
(6,9) and (4,3)

Answer 1

Slope is 3.

Explanation:

Slope formula

`m = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}} = (y_2 - y_1)/(x_2 - x_1)`

m ... slope

Two points on the line are (x1, y1) and (x2, y2).

Now let's insert the coordinates of points (6,9) and (4,3) in the slope formula.

`m = (y_2 - y_1)/(x_2 - x_1)\\\\m = (9 - 3)/(6 - 4)\\\\m = (6)/(2)\\\\m = 3`

You could also do
`m = (3-9)/(4-6)` and would get the same result.