what is the slope of the line that passes through the points (-8,6) and (-8,2)? Write your answer in simplest form

Answer 1

Normally, to find the slope using two points, we would use m = (y₂ - y₁) / (x₂ - x₁) and substitute the values of each of the points. However, in this case both points have an x-value of -8, so the equation that represents this line is x = -8. For this reason, the slope is undefined.

To prove this mathematically, simply substitute the values into the slope formula.

m = (y₂ - y₁) / (x₂ - x₁)

= (6 - 2) / (-8 - (-8)) = (4) / (-8 + 8)

= 4 / 0

= undefined