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{\text{vertical distance}}{\text{horizontal distance}}\\) = \\(\frac{\square}{\square}\\)

Explanation:

Step1: Identify coordinates of points

Point A: $(4, 2)$, Point B: $(10, 5)$

Step2: Calculate vertical change

$\Delta y = 5 - 2 = 3$

Step3: Calculate horizontal change

$\Delta x = 10 - 4 = 6$

Step4: Compute slope as $\frac{\Delta y}{\Delta x}$

$\text{Slope} = \frac{3}{6} = \frac{1}{2}$

Answer:

$\frac{1}{2}$