# Explanation: ## Step1: Recall Slope Definition Slope \( m = \frac{\text{rise}}{\text{run}}=\frac{\Delta y}{\Delta x} \). Positive slope means line rises from left to right, negative means falls. Slope \( \frac{2}{3} \) is positive, so eliminate graphs with negative slopes (purple, blue, green have negative or near - zero slopes? Wait, green looks horizontal? No, green is slightly negative? Wait, red: let's check. ## Step2: Analyze Each Graph - Purple: Line falls from left to right (negative slope) → eliminate. - Blue: Line falls from left to right (negative slope) → eliminate. - Green: Line is almost horizontal (slope near 0) → eliminate. - Red: Line rises from left to right. Let's check rise over run. Pick two points. Suppose from lower point to upper point, \( \Delta y = 2 \), \( \Delta x = 3 \), so slope \( \frac{2}{3} \), which matches. # Answer: The graph on the Right (Red - colored graph)

slope= 2/3 | Sovi AI

QUESTION IMAGE

Question

slope= 2/3

Explanation:

Step1: Recall Slope Definition

Slope \( m = \frac{\text{rise}}{\text{run}}=\frac{\Delta y}{\Delta x} \). Positive slope means line rises from left to right, negative means falls. Slope \( \frac{2}{3} \) is positive, so eliminate graphs with negative slopes (purple, blue, green have negative or near - zero slopes? Wait, green looks horizontal? No, green is slightly negative? Wait, red: let's check.

Step2: Analyze Each Graph

Purple: Line falls from left to right (negative slope) → eliminate.
Blue: Line falls from left to right (negative slope) → eliminate.
Green: Line is almost horizontal (slope near 0) → eliminate.
Red: Line rises from left to right. Let's check rise over run. Pick two points. Suppose from lower point to upper point, \( \Delta y = 2 \), \( \Delta x = 3 \), so slope \( \frac{2}{3} \), which matches.

Answer:

The graph on the Right (Red - colored graph)