Question

graphing a slope
drag the purple point to graph a slope of $m = \frac{3}{4}$
the word \correct\ will appear when your answer is right.

Explanation:

Step1: Recall slope formula

Slope \( m = \frac{\text{rise}}{\text{run}}=\frac{3}{4} \), so rise = 3, run = 4.

Step2: Move from the given point

Start at the purple point (or the known point on the line). Move 4 units to the right (run) and 3 units up (rise) to place the new purple point. This follows the definition of slope as the ratio of vertical change (rise) to horizontal change (run).

Answer:

To graph the slope \( m = \frac{3}{4} \), from the initial purple point, move 4 units to the right (horizontal direction, positive x - direction) and 3 units up (vertical direction, positive y - direction), then place the purple point at this new location. The correct position will be verified when "correct" appears.