Question

Using the slope formula, find the slope of the line through the given points. (4. - 2) and ( - 2, - 2)​

Answer 1

Hi! I'm happy to help!

To solve this problem, we have to find the slope, which is rise over run, or how much the line rises and how far forward the line goes.

We find the slope using this formula (slope formula)

m(slope)=
`(y_(2)-y_(1) )/(x_(2) -x_(1) )`

This refers to the second y point minus the first y point, divided by the second x point minus the first x point. Y refers to the y axis, so that is the rise, because it is the difference of height in the line. X refers to the x axis, so that is the run, because it is the difference in how far it travels forward.

Our second y point is -2, our first y point is also -2. Our second x point is -2, and our first y point is 4. Let's plug in our values.

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

Let's simplify this so there isn't a double negative.

`(-2+2)/(-2-4)`

Now, let's solve

`(0)/(-6)`

0 divided by -6, is still 0, so there is no slope or the slope is 0. This means that the line is horizontal and the y coordinate doesn't change.

I hope this was helpful, keep learning! :D

Answer 2

Answer:

- 0/6

Explanation:

*I’m pretty sure you meant to type “(4, -2)” instead of “(4. -2)” Anyways…*

m = slope

m = change in y/change in x

m = y2 - y1/x2 - x1

Points: (4, -2) and (-2, -2)

m = -2 - -2/-2 - 4

m = 0/-6

The slope is - 0/6