Question

the slope is select select 6 3 1/3

Explanation:

Step1: Recall slope formula

The slope \( m \) of a line is calculated as \( m=\frac{\text{rise}}{\text{run}} \), where rise is the vertical change and run is the horizontal change between two points.

Step2: Determine rise and run

From the graph, let's consider two points on the line. The vertical change (rise) between the two points (the vertical side of the right triangle) is 6 units (assuming each grid square is 1 unit), and the horizontal change (run) is 2 units? Wait, no, looking at the right triangle drawn, the horizontal segment (run) is 2? Wait, no, maybe I miscounted. Wait, actually, looking at the triangle, the horizontal length (run) is 2? Wait, no, let's re - examine. Wait, the vertical leg (rise) is 6 and the horizontal leg (run) is 2? No, wait, maybe the run is 2? Wait, no, maybe the run is 2 and rise is 6? Wait, no, let's do it properly. Let's take two points. Suppose the lower point is at (x1,y1) and the upper point is at (x2,y2). The horizontal distance between them (run) is 2 units (since the horizontal segment of the triangle is 2 squares), and the vertical distance (rise) is 6 units (vertical segment of the triangle is 6 squares). Then slope \( m = \frac{\text{rise}}{\text{run}}=\frac{6}{2} = 3 \)? Wait, no, maybe I got rise and run reversed. Wait, no, slope is rise over run. Wait, maybe the run is 2 and rise is 6, so 6/2 = 3. Wait, but let's check again. Wait, maybe the horizontal change (run) is 2 and vertical change (rise) is 6. So slope is 6/2 = 3.

Wait, maybe I made a mistake. Let's assume that the horizontal segment (run) is 2 and vertical segment (rise) is 6. Then slope \( m=\frac{6}{2}=3 \).

Answer:

3