Question

what is the straight line distance between points h and j on the grid?
grid image with points h(-3, 4), i(3, 4), j(3, -4)
options:

• 8 units
• 6 units
• 10 units
• 14 units

Explanation:

Step1: Identify coordinates of points

Point $H: (-3, 4)$, Point $J: (3, -4)$

Step2: Apply distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$. Substitute values:
$d=\sqrt{(3-(-3))^2+(-4-4)^2}$

Step3: Simplify the expression

First calculate inside the parentheses:
$d=\sqrt{(6)^2+(-8)^2}=\sqrt{36+64}=\sqrt{100}$

Step4: Compute the square root

$d=10$

Answer:

10 units