Question

given the following points: (-7, 8) and (-5, -5)
find the following: the midpoint (left(-6, \frac{3}{2}
ight))

the distance between the points is (\boxed{}) units
question help: message instructor

Explanation:

Step1: Recall distance formula

The distance \(d\) 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, \(x_1=-7,y_1 = 8,x_2=-5,y_2=-5\).

Step2: Substitute values into formula

Calculate \(x_2 - x_1=-5-(-7)=-5 + 7 = 2\) and \(y_2 - y_1=-5 - 8=-13\).
Then, \(d=\sqrt{(2)^2+(-13)^2}=\sqrt{4 + 169}=\sqrt{173}\).

Answer:

\(\sqrt{173}\)