Question

drag and drop an item here; slope is less than 0; slope is greater than 1

Explanation:

Step1: Analyze slope sign

For a line, if it goes from top - left to bottom - right, the slope is negative (less than 0). The bottom - left graph (the one with the cross - hair cursor) has a line that decreases from left to right, so its slope \(m<0\).

Step2: Analyze slope magnitude

For a line with slope greater than 1, the line is relatively steep. The top - left graph has a line that is steep (for example, if we calculate the slope as \(m = \frac{\Delta y}{\Delta x}\), for a small \(\Delta x\), \(\Delta y\) is large, so \(m>1\)). The top - middle graph has a gentle slope (slope between 0 and 1).

Step3: Match the graphs

• "Slope is less than 0" should be matched with the bottom - left graph (the one with the line going from top - left to bottom - right).
• "Slope is greater than 1" should be matched with the top - left graph (the steep line through the origin).

Answer:

• For "Slope is less than 0": The graph with the cross - hair cursor (bottom - left graph).
• For "Slope is greater than 1": The top - left graph.