Understanding the Distance Formula

The Distance Formula helps us find out how far apart two points are on a graph.

Here’s the formula you need to remember:

$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Let’s break it down:

• The letters $(x_1, y_1)$ and $(x_2, y_2)$ represent the points you want to measure.
• The letter "d" stands for the distance between these two points.
• The square root symbol, $\sqrt{}$, helps us calculate the final distance.

How is this Used in Geometry?

The Distance Formula can be really helpful in different ways:

1. It helps us find the lengths of the sides in triangles.

2. It's used when we need to figure out distances in math proofs.

3. We can understand how different geometric shapes relate to each other with it.

Learning this formula is very important for Grade 9 students.

It helps you better understand shapes and their properties!