Question

which line has a slope of \\(\frac{2}{3}\\)? none of these line u line t line s

Explanation:

Step1: Recall Slope Formula

The slope \( m \) of a line is calculated as \( m=\frac{\text{rise}}{\text{run}}=\frac{y_2 - y_1}{x_2 - x_1} \) for two points \( (x_1,y_1) \) and \( (x_2,y_2) \) on the line.

Step2: Analyze Line s

For Line s (blue line with positive slope), pick two clear points. Let's say from a lower point to a higher point, the rise (change in y) is 2 and the run (change in x) is 3. So \( \text{slope}=\frac{2}{3} \).

Step3: Analyze Other Lines

• Line t (red line): Its slope would be smaller (less steep), likely \( \frac{1}{3} \) or similar.
• Line u: It has a negative slope, so not \( \frac{2}{3} \).
• "None of these" is incorrect as Line s has slope \( \frac{2}{3} \).

Answer:

Line s