Question

find the distance between the points (-3, 4) and (-7, 8). a. 8 b. 2√5 c. 4 d. 4√2

Explanation:

Step1: Recall distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Let $(x_1,y_1)=( - 1,4)$ and $(x_2,y_2)=( - 1,0)$.

Step2: Substitute values

Substitute $x_1=-1,y_1 = 4,x_2=-1,y_2 = 0$ into the formula: $d=\sqrt{(-1-(-1))^2+(0 - 4)^2}=\sqrt{(0)^2+(-4)^2}$.

Step3: Simplify

$\sqrt{0 + 16}=\sqrt{16}=4$.

Answer:

C. 4