Question

match each slope in the first row with the graph displaying the line with that slope in the second row. drag each graph above to the area that corresponds to the given slope. items may only be used once. slope - 1 0 1 undefined graph

Explanation:

Step1: Recall slope - zero case

A line with slope \(m = 0\) is a horizontal line. So the graph of a line with slope \(0\) is the horizontal line among the given graphs.

Step2: Recall slope - positive case

A line with positive slope \(m>0\) rises from left - to - right. So the graph of a line with slope \(5\) is the line that rises from left - to - right among the given graphs.

Step3: Recall slope - negative case

A line with negative slope \(m < 0\) falls from left - to - right. So the graph of a line with slope \(-1\) is the line that falls from left - to - right among the given graphs.

Step4: Recall slope - undefined case

A line with an undefined slope is a vertical line. So the graph of a line with an undefined slope is the vertical line among the given graphs.

Answer:

Slope \(-1\): The line that falls from left - to - right.
Slope \(0\): The horizontal line.
Slope \(5\): The line that rises from left - to - right.
Slope undefined: The vertical line.