Question

I need help with this algebra question

Answer 1

`m=(6)/(7)`

Step-by-step explanation:

`m=(10-4)/(9-2)=(6)/(7)`

Answer 2

Answer:
`(6)/(7)`

Step-by-step 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}} = (6)/(7)`

Here's how you can show the steps

`m = (y_2-y_1)/(x_2-x_1)\\\\m = (10-4)/(9-2)\\\\m = (6)/(7)\\\\`

Note: To write
`(6)/(7)` on the keyboard, you can type 6/7