Question

Find the slope of the line that goes through the given points.

(-8, 7), (-8, 6)
Group of answer choices

16

0

- (16/13)

Answer 1

0 or undefined

Explanation:

Hey! Let's help you with your question here!

So, you're trying to find the slope of a line that goes through two given points. To recall, we're trying to find m from the slope-intercept form (
`y=mx+b`). Now we have two points, so is it possible to find the slope given that? Yes! It is! And that is using the slope between two points! Here's how it works:

`m=(y_2-y_1)/(x_2-x_1)`

This is the formula! Essentially, we'll be able to figure out the slope based on two points in just plugging in the x and y coordinates into the formula. So it becomes:

`m=(y_2-y_1)/(x_2-x_1)`

`m=(6-7)/(-8-(-8))`

`m=(-1)/(0)`

Now, a problem arises here. While the numerator does give us a value of -1, the denominator ends up being a value of 0. We cannot divide anything by 0 because there's nothing to divide -1 into. In this case, the slope of this line would be classified as undefined. However, in the case of your answer choices, if we were to plot the points on the graph, you'll notice that it's a vertical straight line. So the slope would technically 0.