DISTANCE BETWEEN POINTS; THE MIDPOINT FORMULA

The Distance Formula

To find the distance between any two points in a coordinate plane:

This sequence of operations is expressed in the Distance Formula:

the Distance Formula
The distance between points [beautiful math coming... please be patient] $\,(x_1,y_1)\,$ and [beautiful math coming... please be patient] $\,(x_2,y_2)\,$ is given by the Distance Formula: [beautiful math coming... please be patient] $$ \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} $$

For a complete review of the distance between two points in the coordinate plane, study the following web exercise,
which includes a derivation, a discussion of subscript notation, and examples:   The Distance Formula

The Midpoint Formula

To find the midpoint of the line segment between any two points in a coordinate plane:

This sequence of operations is expressed in the Midpoint Formula:

THE MIDPOINT FORMULA
The midpoint of the line segment between points $\,(x_1,y_1)\,$ and $\,(x_2,y_2)\,$ is given by the Midpoint Formula: $$ \left( \frac{x_1+x_2}2,\frac{y_1+y_2}2 \right) $$

For a complete review of midpoints, including a derivation and examples, study:   The Midpoint Formula

Master the ideas from this section
by practicing the exercise at the bottom of this page.

When you're done practicing, move on to:
Sketching Regions in the Coordinate Plane
On this exercise, you will not key in your answer.
However, you can check to see if your answer is correct.
PROBLEM TYPES:
1 2 3 4 5 6 7 8 9
AVAILABLE MASTERED IN PROGRESS

(MAX is 9; there are 9 different problem types.)