Find the distance between (–6, 4) and (0, –4).
the distance formula says
distance=sqrt(36+64)
A. 6
B. 2
C. 10
D. 4
What is the square root of 36 + 64?
To find the distance between two points on a coordinate plane, you can use the distance formula. The distance formula states that the distance between two points with coordinates (x1, y1) and (x2, y2) is given by the formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Let's use this formula to find the distance between (-6, 4) and (0, -4).
First, let's label the coordinates:
x1 = -6, y1 = 4 (coordinates of the first point)
x2 = 0, y2 = -4 (coordinates of the second point)
Now, let's substitute these values into the distance formula:
d = √((0 - -6)^2 + (-4 - 4)^2)
Simplifying this expression:
d = √((6)^2 + (-8)^2)
d = √(36 + 64)
d = √100
d = 10
Therefore, the distance between (-6, 4) and (0, -4) is 10 units.