Question

graph a right triangle with the two points forming the hypotenuse. using the distance between the two points in simplest radical form.
(-2, 9) and (-7, 4)
click twice to draw a line. click a segment to erase it.

Explanation:

Step1: Identify coordinate differences

Let $(x_1,y_1)=(-2,9)$ and $(x_2,y_2)=(-7,4)$.
Calculate $\Delta x = x_2 - x_1 = -7 - (-2) = -5$, $\Delta y = y_2 - y_1 = 4 - 9 = -5$

Step2: Apply distance formula

Use $d=\sqrt{(\Delta x)^2 + (\Delta y)^2}$
$$d=\sqrt{(-5)^2 + (-5)^2}$$

Step3: Simplify the expression

$$d=\sqrt{25 + 25}=\sqrt{50}=5\sqrt{2}$$

Answer:

$5\sqrt{2}$