does -3,8 and -3,2 intercept with -2,10 and -2,0

Answer 1

To determine if the lines represented by the points (-3,8) and (-3,2) intercept with the lines represented by the points (-2,10) and (-2,0), we need to compare their slopes.

The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by the formula:

slope = (y₂ - y₁) / (x₂ - x₁)

For the first set of points (-3,8) and (-3,2), the slope is:

slope₁ = (2 - 8) / (-3 - (-3)) = (-6) / 0 = undefined

The slope of this line is undefined because the denominator is zero. This means the line is vertical.

For the second set of points (-2,10) and (-2,0), the slope is:

slope₂ = (0 - 10) / (-2 - (-2)) = (-10) / 0 = undefined

Similarly, the slope of this line is also undefined, indicating that it is vertical.

Since both lines are vertical, they will never intersect.