marcus plots the point (4, 7) in quadrant i on the coordinate plane. nicole then plots the point (4, -3) in…

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.

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

Answer:

The line is a vertical line and the slope is undefined.

Explanation:

Step1: Recall slope formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line. Let $(x_1,y_1)=(4,7)$ and $(x_2,y_2)=(4, - 3)$.

Step2: Substitute values into formula

Substitute the values into the slope formula: $m=\frac{-3 - 7}{4 - 4}=\frac{-10}{0}$.

Step3: Analyze the result

Division by zero is undefined. So the slope of the line passing through the points $(4,7)$ and $(4,-3)$ is undefined. Also, since the $x$-coordinates of both points are the same ($x = 4$), the line is a vertical line.