Question

Find the slope of line passing through the two points, (3, 6) and (3, 2)

Answer 1

Answer:

It is undefined

Step-by-step explanation:

Slope formula:

m = y₂ - y₁ / x₂ - x₁

m = 2 - 6 / 3 - 3

m = -4 / 0

m = 0

From this calculation, there is no slope because the two points have the same x variable, which will result to a no run.

It would be a vertical line.

Answer 2

Using slope formula

$m=\dfrac{\Delta{y}}{\Delta{x}}=\dfrac{\Delta{y}}{0}$

We obtain division by 0 thus this means our slope is $\pm\infty$.

Our line is vertical, like y-axis except it intersects x-axis at x = 3.

Hope this helps.