Question

What is the slope of the line that passes through the points (-8, -1)(−8,−1) and (-8, -11)(−8,−11)? Write your answer in simplest form.

Answer 1

Undefined

Explanation:

Hey! Let's help you with your question here! I am unsure if the points are correct cause you've written each one down twice. If it does change, I will change my answer accordingly.

We're looking for a slope of the line that passes through 2 points I see! Alright, so as you would recall, most equations of a linear line are described in the form of slope-intercept form. And that being this:

`y=mx+b`

When we're finding for slope of the line, we're essentially just look for m. But how can we find m with only just 2 points? Well, we can! Using a formula that helps us find the slope using exactly 2 points! And that is:

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

Now, all we have to do is plug in the values as such and solve:

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

`m=(-11-(-1))/(-8-(-8))`

From here, we come to a problem. If we were to solve this equation to find the slope, we will get an undefined value mainly because the denominator will equal 0 and we can't have it equal 0. So therefore, it is undefined.

Answer 2

Undefined slope

Explanation:

Slope , m is equal to rise/run Or ( y1-y2) / ( x1 -x2)

This line is a vertical line at x = -8 And thus has undefined slope

(Because you cannot divide by zero)