# Expressing Geometric Properties with Equations

### Popular Tutorials in Expressing Geometric Properties with Equations

#### How Do You Write an Equation of a Line in Slope-Intercept Form If You Have One Point and a Parallel Line?

Want to find the slope-intercept form of a line when you're given a point on that line and another line parallel to that line? Remember, parallel lines have the same slope. If you can find the slope of that parallel line, you'll have the slope of your line! In this tutorial, you'll see how to find the slope of your line and use that slope, along with the given point, to write an equation for the line in slope-intercept form. Take a look!

#### How Do You Write an Equation of a Line in Slope-Intercept Form If You Have One Point and a Perpendicular Line?

Want to find the slope-intercept form of a line when you're given a point on that line and another line perpendicular to that line? Remember, perpendicular lines have slopes that are opposite reciprocals of each other. In this tutorial, you'll see how to find the slope using the slope of the perpendicular line. Then, use this slope and the given point to write an equation for the line in slope-intercept form. Check it out!

#### How Do You Find the Slope of a Line If You Have a Perpendicular Line?

Perpendicular lines have slopes that are opposite reciprocals of each other. To find the slope of a line that is perpendicular to a given equation, find the opposite reciprocal of that slope. Check out this tutorial to learn how!

#### How Do You Know if Two Lines are Parallel?

Parallel lines are lines that will go on and on forever without ever intersecting. This is because they have the same slope! If you have two linear equations that have the same slope but different y-intercepts, then those lines are parallel to one another!

#### How Do You Know if Two Lines Are Perpendicular?

Perpendicular lines intersect at right angles to one another. To figure out if two equations are perpendicular, take a look at their slopes. The slopes of perpendicular lines are opposite reciprocals of each other. Their product is -1! Watch this tutorial and see how to determine if two equations are perpendicular.

#### How Do You Find the Distance Between Two Points?

Trying to find the distance between two points? Use the distance formula! Want to see how it's done? Check out this tutorial!

#### What is a Parabola?

A parabola is much more than just the graph of a quadratic. This tutorial shows you various definitions of a parabola and even shows you horizontal parabolas! Take a look!

#### What is an Ellipse?

An ellipse is a specific shape with some very neat pieces! In this tutorial, you'll learn multiple definitions of an ellipse and see all its different parts.

#### What is a Hyperbola?

This tutorial explains how hyperbolas are created. It also shows you the different parts of hyperbolas and defines them multiple ways. Follow along with this tutorial to learn all about hyperbolas!

#### How Do You Use Variables to Name Coordinates for a Figure Placed on the Coordinate Plane?

This tutorial shows you how to find the vertices of a rhombus that's graphed on the coordinate plane!

#### How Do You Write a Coordinate Proof?

In this tutorial, you'll see how to write a coordinate proof to prove that two triangles are congruent. Check it out!

#### How Do You Find the Perimeter of a Rectangle in the Coordinate Plane?

Finding the perimeter of a rectangle in the coordinate plane is easier than you might think! This tutorial shows you how to use the coordinate plane to find the perimeter of a rectangle.

#### How Do You Find the Area of a Rectangle in the Coordinate Plane?

If you need to find the area of a rectangle on the coordinate plane, all you need is the length and width of that rectangle! This tutorial shows you what to do to find the area of a rectangle when it's graphed on the coordinate plane.

#### How Do You Find the Area of an Irregular Figure in the Coordinate Plane?

Finding the area of a composite figure in the coordinate plane is easier than you might think! Follow along with this tutorial to see the process step-by-step.

#### How Do You Find the Slope of a Line If You Have a Parallel Line?

Looking at a graph of parallel lines? Got the equation of one of the lines? Want to find the slope of the other line? No problem! Just remember that parallel lines have the same slope! Use the given equation to find the slope of the first line and since the lines are parallel, that's the slope of the second line! To see an example, check out this tutorial.