Question

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

Answer 1

Finding the slope using two points:

The formula for slope is

$\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

In this case...

$y_{2} =-2\\y_{1} =4\\x_{2} =6\\x_{1} =-2$

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

$\frac{-2 - 4}{6 - (-2)}$

$\frac{-6}{8}$

^^^Can be further simplified to...

$\frac{-3}{4}$

^^^This is your slope

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer 2

Answer:

${\displaystage\boxed{\frac{-3}{4}}$

Step-by-step explanation:

Slope formula:

     ↓

$\displaystyle\frac{y_2-y_1}{x_2-x_1}$

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

$\displaystage \frac{-2-4}{6-(-2)}=\frac{-6}{8}=\frac{-6\div2}{8\div2}=\frac{-3}{4}$

-3/4 is the correct answer.

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