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 = (vertical distance)/(horizontal distance) = (5 - 2)/(10 - 4) = (□)/(10 - 4)

Explanation:

Step1: Calculate numerator

Subtract \(2\) from \(5\): \(5 - 2 = 3\)

Step2: Calculate denominator

Subtract \(4\) from \(10\): \(10 - 4 = 6\)

Step3: Simplify slope

Slope is \(\frac{3}{6}=\frac{1}{2}\), but first fill the numerator blank: the result of \(5 - 2\) is \(3\), so the blank should be \(3\).

Answer:

\(3\)