What is the distance between (4,4) and (-4,-4) on a coordinate plane?
goes left 8 units
goes down 8 units
45, 45 , 90 triangle
hypotenuse = side * sqrt 2
so
8 sqrt 2
Thanks!
You are welcome.
To find the distance between two points on a coordinate plane, you can use the distance formula. The distance formula calculates the distance between two points (x1, y1) and (x2, y2) as follows:
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
In this case, the coordinates of the first point are (4,4) and the coordinates of the second point are (-4,-4).
Substituting the values into the distance formula, we get:
Distance = sqrt((-4 - 4)^2 + (-4 - 4)^2)
= sqrt((-8)^2 + (-8)^2)
= sqrt(64 + 64)
= sqrt(128)
= 8 * sqrt(2)
So, the distance between (4,4) and (-4,-4) on the coordinate plane is 8 * sqrt(2) units.