Question

1. if point a is located at (6, -5), and point b is located at (6, 4), what is the length of line segment ab?

(a) 5 units
(b) 1 unit
(c) 11 units
(d) 9 units

Explanation:

Step1: Recall distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here, $x_1 = 6,y_1=- 5,x_2 = 6,y_2 = 4$.

Step2: Substitute values

Since $x_1=x_2 = 6$, the distance $d=\vert y_2 - y_1\vert=\vert4-(-5)\vert$.

Step3: Calculate the result

$\vert4 + 5\vert=9$.

Answer:

d. 9 units