Find the slope of the line that passes through the points (-4,6) and (-4,-4)

Question

please show steps

Answer 1

Note that the two points have the same x coordinate (-4), so the line is vertical.  Its slope is undefined.  You can also see from the slope equation

 

m = (y₂ - y₁) / (x₂ - x₁) 

 

that you will have a zero in the denominator.

Answer 2

What we need to do is use the rise-over-run formula:

(y₂ - y₁) / (x₂ - x₁)

 

(-4 - 6) / (-4 - (-4))

-10 / (-4 + 4)

-10 / 0

 

So you're line's slope is undefined or infinite since we have zero run (a vertical line).

Answer 3

Hello, thank you for taking the time to post your question!

The underlying equation that you want to use here is the slope formula: m=(y2​−y1​)/(x2​−x1​)

For this set of values, we have the points (−4,6) and (−4,−4).

Plugging these values into the slope formula gives you: m=(−4−6)/(−4−(−4)) m=−10/0

Since division by zero is undefined, the slope of the line that passes through these two points is undefined ... meaning that this is a straight vertical line.

I hope that helps you get moving in a better direction on this type of question! Feel free to reach out if you have any additional questions beyond that :)