Question

1. find the distance between the two points on the graph.
2. find ab given a(-4, 1) and b(3, -1).
3. find ef given e(-7, -2) and f(11, 3)

Explanation:

Step1: Recall distance formula

$d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$

Step2: Solve for problem 2

$AB=\sqrt{(3 - (-4))^2+((-1)-1)^2}=\sqrt{49 + 4}=\sqrt{53}$

Step3: Solve for problem 3

$EF=\sqrt{(11-(-7))^2+(3 - (-2))^2}=\sqrt{324 + 25}=\sqrt{349}$

Answer:

1. $\sqrt{53}$
2. $\sqrt{349}$