Question

What is the slope of the line through (–4, 3) and (5, 3)?

Answer 1

The slope is 0 and it's undefined.

Explanation:

To find the slope, first you have to solve these problems from left to right. Then, you'd use the slope formula of
`\Rightarrow \displaystyle (y_2-y_1)/(x_2-x_1)=(rise)/(run)`.

`\displaystyle y_2=3\\\\\displaystyle y_1=3\\\\\displaystyle x_2=5\\\\\displaystyle x_1=(-4)\\`

Next, you had to solve.

`\displaystyle(3-3)/(5-(-4))=(0)/(9)=\large\boxed{0}`

As a result, the slope of the line through (-4,3) and (5,3) is undefined.

I hope this helps you!

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Good Luck!

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) =3\\y_(1) =3\\x_(2) =5\\x_(1) =-4`

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

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

`(0)/(9)`

0

^^^This is your slope

If your slope is zero that means that the graph will be horizontal

Hope this helped!

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