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Chapter 1: Problem 31

Plot the points and find the slope of the line passing through the pair of points. $$(-6,-1),(-6,4)$$

Short Answer

Expert verified
The points lie on a vertical line and the slope of this line is undefined.

Step by step solution

01

Plotting the Points

Plot the points on a graph. The points are (-6,-1) and (-6,4). Both points have the same x-coordinate (-6), indicating that they line on the same vertical line.
02

Draw the Line

Draw a line that passes through both points. Because the x-coordinates are the same, this line will be vertical.
03

Calculate the slope

Normally, you would calculate the slope of a line using the formula \(slope = (y_2-y_1) / (x_2-x_1)\). However, in this case, the formula results in a division by zero because the x-coordinates of the points are the same. In other words, \(x_2 - x_1 = -6 - (-6) = 0\). As a result, we say the slope is undefined.

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