Trigonometry and precalculus
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Graphing lines
Thinking about graphing on a coordinate plane, slope and other analytic geometry.
The coordinate plane
How can we communicate exactly where something is in two dimensions? Who was this Descartes character?
In this tutorial, we cover the basics of the coordinate plane. We then delve into graphing points and determining whether a point is a solution of an equation. This will be a great tutorial experience if you are just starting to ramp up your understanding of graphing or need some fundamental review.
- Descartes and Cartesian Coordinates
- The Coordinate Plane
- Plot ordered pairs
- Graphing points
- Quadrants of Coordinate Plane
- Graphing points and naming quadrants
- Points on the coordinate plane
- Ordered pair solutions of equations
- Ordered Pair Solutions of Equations 2
- Ordered pair solutions to linear equations
- Recognizing Linear Functions
- Identifying linear relationships
Slope
If you've ever struggled to tell someone just how steep something is, you'll find the answer here. In this tutorial, we cover the idea of the slope of a line. We also think about how slope relates to the equation of a line and how you can determine the slope or y-intercept given some clues.
This tutorial is appropriate for someone who understands the basics of graphing equations and want to dig a bit deeper. After this tutorial, you will be prepared to start thinking deeper about the equation of a line.
Equation of a line
You know a bit about slope and intercepts, but want to know more about all the ways you can represent the equation of a line including slope-intercept form, point-slope form, and standard form.
This tutorial will satisfy that curiosity!
- Graphing a line in slope intercept form
- Converting to slope-intercept form
- Graphing linear equations
- Linear Equations in Slope Intercept Form
- Graphs Using Slope-Intercept Form
- Word Problem Solving 4
- Equation of a line 1
- Equation of a line 2
- Equation of a line 3
- Solving for the y-intercept
- Slope intercept form
- Linear Equations in Point Slope Form
- Point slope form
- Linear Equations in Standard Form
- Point-slope and standard form
- Converting between slope-intercept and standard form
- Converting between point-slope and slope-intercept
- Finding the equation of a line
Midpoint and distance
This tutorial covers some of the basics of analytic geometry: the distance between two points and the coordinate of the midpoint of two points.
Equations of parallel and perpendicular lines
You're familiar with graphing lines, slope and y-intercepts. Now we are going to go further into analytic geometry by thinking about the equations of parallel and perpendicular lines. Enjoy!
Graphing inequalities
In this tutorial we'll see how to graph linear inequalities on the coordinate plane. We'll also learn how to determine if a particular point is a solution of an inequality.
- Graphing Inequalities
- Solving and graphing linear inequalities in two variables 1
- Graphing Linear Inequalities in Two Variables Example 2
- Graphing Inequalities 2
- Graphing linear inequalities in two variables 3
- Graphs of inequalities
- Graphing linear inequalities
- Graphing and solving linear inequalities