Find the slope of the line containing the given points.
-(6, 1) and (6, - 4)
A) - 4
B) 0
D) Undefined

Question

Find the slope of the line containing the given points.
-(6, 1) and (6, - 4)
A) - 4 
B) 0 
D) Undefined

Quizplus · Accepted Answer

To find the slope of the line we use the formula:

slope = (y₂ - y₁) / (x₂ - x₁)

We have two points: (6, 1) and (6, -4)

Let's call the first point (x₁, y₁) and the second point (x₂, y₂)

So, we have:

x₁ = 6, y₁ = 1
x₂ = 6, y₂ = -4

Now we can plug these values into the formula:

slope = (y₂ - y₁) / (x₂ - x₁)
slope = (-4 - 1) / (6 - 6)

Notice that the denominator is 0, which makes the slope undefined. So the correct answer is D) Undefined. The slope of a vertical line is undefined because the change in x is 0. In this case, both points have an x-coordinate of 6, meaning there is no change in x, resulting in an undefined slope.

Find the Slope of the Line Containing the Given Points