Question

this expression shows point b’s coordinates minus point a’s coordinates in both the numerator and denominator. use the expression to find the slope of line t. first, subtract in the numerator to calculate the change in the y - values, or the change in vertical distance. slope = \\(\frac{\text{vertical distance}}{\text{horizontal distance}}\\) = \\(\frac{5 - 2}{10 - 4}\\) = \\(\frac{\square}{10 - 4}\\)

Explanation:

Step1: Calculate vertical change

$5 - 2 = 3$

Step2: Calculate horizontal change

$10 - 4 = 6$

Step3: Compute slope value

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

Answer:

The slope of line $t$ is $\frac{1}{2}$ (the value for the blank in the numerator is $3$)