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

Answer:

1.=0

2.=undefined

Step-by-step 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=$\frac{y2-y1}{x2-x1}$

where m is the slope.

$\frac{7-7}{7-3}$

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.

$\frac{-5-3}{-4-(-4)} \\\frac{-8}{-4+4} \\\frac{8}{0}$

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"

$SilentNature$