Question

what is the length of a segment with endpoints at (-2, 5) and (4, 5)?
a. 2
b. 6
c. 9
d. 10

Explanation:

Step1: Identify the distance formula

For two - dimensional points $(x_1,y_1)$ and $(x_2,y_2)$, the distance $d$ is given by $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here, $x_1=-2,y_1 = 5,x_2 = 4,y_2 = 5$.

Step2: Substitute the values into the formula

Since $y_1=y_2 = 5$, the formula simplifies to $d=\sqrt{(4-(-2))^2+(5 - 5)^2}=\sqrt{(4 + 2)^2+0^2}=\sqrt{6^2}=6$.

Answer:

B. 6