answer
c = [tex]\sqrt{85}[/tex]
set up equation
to find the distance between these two points, we can use the pythagorean theorem [tex]a^2 + b^2 = c^2[/tex]
a is the horizontal distance or |x2 - x1|
b is the vertical distance or |y2 - y1|
c is the direct distance that we want to find
finding a and b
with the points (2, -2) and (8, -9)
x1 = 2
x2 = 8
y1 = -2
y2 = -9
plug in values to get
a = |x2 - x1| = |8 - 2| = |6| = 6
b = |y2 - y1| = |-9 - (-2)| = |-9 + 2| = |-7| = 7
finding c
now we can plug a and b into [tex]a^2 + b^2 = c^2[/tex] to find c
[tex]6^2 + 7^2 = c^2[/tex]
36 + 49 = [tex]c^2[/tex]
85 = [tex]c^2[/tex]
c = [tex]\sqrt{85}[/tex]
