Question

Marcus plots the point (4, 7) in Quadrant I on the coordinate plane. Nicole then plots the point (4, –3) in Quadrant IV of the same graph. Explain what the line that goes through those two points would look like, and evaluate the slope.

Answer 1

Explanation:

Sample Response: Since both points have the same x-coordinate, the line would be vertical. A vertical line has no slope because the run of the graph, which is the denominator, is zero and therefore an undefined fraction.

Answer 2

see the explanation

Explanation:

we have the points

(4,7) and (4,-3)

we know that

The x=coordinate of both points are the same

so

the line that goes through those two points is a vertical line (parallel to the y-axis)

The slope is undefined

Because

The formula to calculate the slope between two points is equal to

`m=(y2-y1)/(x2-x1)`

substitute the values

`m=(7+3)/(4-4)`

`m=(10)/(0)`

Is undefined (the denominator is equal to zero)

see the attached figure to better understand the problem