Question

what is the slope of line t? you can use the slope triangle to help you find the change in vertical and horizontal distance from point a to point b. slope = \frac{vertical distance}{horizontal distance} = \frac{\square}{\square}

Explanation:

Step1: Identify coordinates of A and B

Point A is at (4, 2), Point B is at (10, 5).

Step2: Calculate vertical distance (change in y)

Vertical distance = \( 5 - 2 = 3 \).

Step3: Calculate horizontal distance (change in x)

Horizontal distance = \( 10 - 4 = 6 \).

Step4: Compute slope

Slope = \( \frac{\text{vertical distance}}{\text{horizontal distance}} = \frac{3}{6} = \frac{1}{2} \).

Answer:

\(\frac{1}{2}\)