Question

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

Answer 1

Answer:

Slope is 3.

Step-by-step explanation:

Slope formula

$m = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}} = \frac{y_2 - y_1}{x_2 - x_1}$

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.

$m = \frac{y_2 - y_1}{x_2 - x_1}\\\\m = \frac{9 - 3}{6 - 4}\\\\m = \frac{6}{2}\\\\m = 3$

You could also do $m = \frac{3-9}{4-6}$ and would get the same result.