Question

i need help with this algebra question

Answer 1

Answer:

$m=\frac{6}{7}$

Step-by-step explanation:

$m=\frac{10-4}{9-2}=\frac{6}{7}$

Answer 2

Answer:  $\frac{6}{7}$

Explanation:

In the numerator we have $y_2 - y_1 = 10-4 = 6$ to represent the change in y, aka the rise. This is the vertical change. It's how much we go up.

The denominator has $x_2 - x_1 = 9-2 = 7$ to represent the run. It is the horizontal change, or how much we go to the right.

We go up 6 and to the right 7 to have a slope of $m = \frac{\text{rise}}{\tex{run}} = \frac{6}{7}$

Here's how you can show the steps

$m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{10-4}{9-2}\\\\m = \frac{6}{7}$

Note: To write $\frac{6}{7}$ on the keyboard, you can type 6/7