Question

plot and connect the points a (-6, 5), b (-1, 5), c (5, 3), d (-1, 1), e (-6, 1), and find the length of $overline{ae}$. a. 3 units b. 2 units c. 5 units d. 4 units

Explanation:

Step1: Recall the distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. For points $A(-6,5)$ and $E(-6,1)$, $x_1=-6,y_1 = 5,x_2=-6,y_2 = 1$.

Step2: Substitute the values into the formula

$d=\sqrt{(-6-(-6))^2+(1 - 5)^2}=\sqrt{(0)^2+(-4)^2}=\sqrt{0 + 16}=\sqrt{16}=4$.

Answer:

D. 4 units