Question

Find the slope of the line that contains the following points. r(-2, 4), s(6, -2)

Answer 1

`{\displaystage\boxed{(-3)/(4)}`

Explanation:

Slope formula:

↓

`\displaystyle(y_2-y_1)/(x_2-x_1)`

`\displaystage y_2=(-2)\\\displaystage y_1=4\\\displaystage x_2=6\\\displaystage x_1=(-2)\\`

`\displaystage (-2-4)/(6-(-2))=(-6)/(8)=(-6/2)/(8/2)=(-3)/(4)`

-3/4 is the correct answer.

I hope this helps you, and have a wonderful day!

Answer 2

Finding the slope using two points:

The formula for slope is

`(y_(2)-y_(1))/(x_(2)-x_(1))`

In this case...

`y_(2) =-2\\y_(1) =4\\x_(2) =6\\x_(1) =-2`

^^^Plug these numbers into the formula for slope...

`(-2 - 4)/(6 - (-2))`

`(-6)/(8)`

^^^Can be further simplified to...

`(-3)/(4)`

^^^This is your slope

Hope this helped!

~Just a girl in love with Shawn Mendes