Introduction to Distance and Midpoint Formulas

• To find the midpoint of 2 points, plug in your points into the given formula.

• Simplify your answer to get the coordinate that lies directly in the middle of the 2 points.

To find the midpoint,

1. Plug in (-3) for X₁ and plug in (3) for Y₁.

2. Plug in (5) for X₂ and plug in (3) for Y₂.

3. Simplify your answer to find the coordinate that lies between the two points.

1. Plug in (-4) for X₁ and (5) for Y₁.

2. Plug in (2) for X₂ and (-3) for Y_2.

3. Simplify your answer to find the middle coordinate.

Sometimes your answers may not simplify evenly. In this case, you can rewrite your answers as decimals so that you can see where the coordinates lie on the graph.

• To find the distance between two points, plug in the x and y values into the formula given.

• Simplify your answer so that you can find the distance (d) between the two points.

To find the distance:

1. Plug in (6) for X₂ and (0) for X₁.

2. Plug in (0) for Y₂ and (0) for Y₁.

3. Simplify your answer to find d.

1. Plug in (3) for X₂ and (-3) for X₁.

2. Plug in (5) for Y₂ and (2) for Y₁.

3. Simplify your answer to find d.

Note: Sometimes you will have to split your square roots to find a simpler answer.

• Use the midpoint formula.

• Substitute in values and solve for the variable.

​Let's do the next question together