what is the Distance Fomula & midpoint formula?

d^2 = (Xb-Xa)^2 + (Yb-Ya)^2

Xm = (1/2)(Xa+Xb)
Ym = (1/2)(Ya+Yb)

Thank you, Damon

The Distance Formula is used to find the distance between two points in a coordinate plane. The formula is derived from the Pythagorean theorem.

To find the distance between two points (x1, y1) and (x2, y2), you can use the Distance Formula:

d = √((x2 - x1)^2 + (y2 - y1)^2)

Here, "d" represents the distance between the two points on the coordinate plane.

To calculate the midpoint of a line segment, you can use the Midpoint Formula. The midpoint is the point that lies exactly halfway between two given points (x1, y1) and (x2, y2) in a coordinate plane.

The Midpoint Formula is:

(x, y) = ((x1 + x2)/2, (y1 + y2)/2)

It calculates the average of the x-coordinates and the average of the y-coordinates of the two given points to find the coordinates of the midpoint (x, y).

It's important to note that the Distance Formula and Midpoint Formula only apply to Cartesian coordinate systems and may not be applicable to other coordinate systems.