Question

Finding the slope of the line passing through the points

Answer 1

`{\huge \boxed{(1)/(4)}`

Explanation:

The slope formula is
`\displaystyle (Y_2-Y_1)/(X_2-X_1)`

`\displaystyle Y_2=6\\\displaystyle Y_1= 2\\\displaystyle X_2=9\\\displaystyle X_1=(-7)`

`\displaystyle (6-2)/(9-(-7))=(4)/(16)=(4/4)/(16/4)=(1)/(4)`

Therefore, the slope is 1/4, and the correct answer is 1/4.

Hope this helps!

Answer 2

Slope formula:
`(y_2 - y_1)/(x_2 - x_1)`

First, you would need to plug the coordinates into the slope formula.

`(6 - 2)/(9 + 7)`

Now, all you would have to do is solve and simplify it.

`(6 - 2)/(9 + 7)` =
`(4)/(16)` =
`(1)/(4)`

The slope of the line is
`(1)/(4)`.

I hope this helps!