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. make the writing short and write it like an 8th grader

Answer 1

The line that goes through the points (4, 7) and (4, –3) is a vertical line. This is because both points have the same x-coordinate, which is 4. A vertical line means it goes straight up and down.

To find the slope of the line, we use the formula for slope, which is:

**Slope (m) = (y2 - y1) / (x2 - x1)**

Here, our points are (x1, y1) = (4, 7) and (x2, y2) = (4, –3).

Substituting in the values:

**m = (–3 - 7) / (4 - 4)**

**m = (–10) / 0**

Since we can't divide by zero, the slope is undefined. This means the line is vertical.