Question

1. Find the slope of the line passing through the points (-3,7) and (7,7)

2. Find the slope of the line passing through the points (-4,3) and (-4,-5)

Answer 1

1.=0

2.=undefined

Explanation:

7-7/7--3

0/10

0

-5-3/-4-(-4)

-8/0

undefined

Answer 2

Hi there!

To find the slope of a line when we have 2 points, we use this formula:

m=
`(y2-y1)/(x2-x1)`

where m is the slope.

`(7-7)/(7-3)`

Notice that if we subtract the y-coordinates, we get 0. We know that 0 divided by any number is 0.

So the slope of this line is 0.

So if the y-coordinates are the same, then the slope is 0.

Now, let's find the slope of the next line.

`(-5-3)/(-4-(-4)) \\(-8)/(-4+4) \\(8)/(0)`

Do you see what I see?

We cannot divide by 0 because division by 0 is undefined. So the slope of this line is undefined.

Remember:

• If the y-coordinates are the same, then the slope is 0.
• If the x-coordinates are the same, then the slope is undefined.

Hope this helps you!

~Just an emotional teen who listens to her favorite song "Try Everything"

`SilentNature`