Khan Academy on a Stick
Graphing lines and slope
Use the power of algebra to understand and interpret points and lines (something we typically do in geometry). This will include slope and the equation of a line.
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Descartes and Cartesian coordinates
Bridging algebra and geometry. What makes linear equations so linear.
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The coordinate plane
Let's get familiar with the x/y coordinate plane, both from the perspective of plotting points and interpreting the placement of points on a plane.
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Coordinate plane: plot ordered pairs
We're plotting an ordered pair on the x (horizontal) axis and y (vertical) axis of the coordinate plane.
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Coordinate plane: quadrants
You like dividing up a pizza into slices? In geometry, we slice up the coordinate plane into quadrants. Although these are more like squares than triangular pizza slices! Let's learn about them.
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Coordinate plane: graphing points and naming quadrants
This is a great exercise example in which we plot the ordered pair and then identify which quadrant the point lies. You'll get the hang of this quickly!
Graphing on 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.
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Ordered pair solutions of equations
Ordered pair solutions of equations
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Ordered pair solutions of equations 2
Ordered Pair Solutions of Equations
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Determining a linear equation by trying out values from a table
Solutions and graphs of two-variable equations
In this tutorial, we'll work through examples that show how a line can be viewed as all of coordinates whose x and y values satisfy a linear equation. Likewise, a linear equation can be viewed as describing a relationship between the x and y values on a line.
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Graphing using x- and y-intercepts
Graphing using X and Y intercepts
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x- and y-intercepts
X and Y intercepts
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x- and y-intercepts 2
X and Y intercepts 2
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Finding x intercept of a line
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Finding intercepts for a linear function from a table
Graphing with intercepts
There are many ways to graph a line and this tutorial covers one of the simpler ones. Since you only need two points for a line, let's find what value an equation takes on when x = 0 (essentially the y-intercept) and what value it takes on when y = 0 (the x-intercept). Then we can graph the line by going through those two points.
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Slope of a line
Slope of a line
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Slope of a line 2
Slope of a Line 2
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Slope and rate of change
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Graphical slope of a line
Graphical Slope of a Line
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Slope of a line 3
Slope of a Line 3
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Slope example
Slope Example
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Slope and y-intercept intuition
Using the "Graph of a line" module to understand how a line's graph changes when its slope or y-intercept is changed.
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Intuitive understanding of slope example
Slope of a line
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.
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Graphing a line in slope intercept form
Graphing a line in slope intercept form
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Converting to slope-intercept form
Converting to slope-intercept form
Graphing linear equations in slope-intercept form
Math is beautiful because there are so many way to appreciate the same relationship. In this tutorial, we'll use our knowledge of slope to actually graph lines that have been expressed in slope-intercept form.
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Multiple examples of constructing linear equations in slope-intercept form
Linear Equations in Slope Intercept Form
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Constructing equations in slope-intercept form from graphs
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Linear equation from slope and a point
Equation of a line
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Finding a linear equation given a point and slope
Equation of a line 2
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Equation of a line from fractional slope and point
u13 l2 t2 we INT Equation of a Line hairier example
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Constructing the equation of a line given two points
Equation of a line 3
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Finding y intercept given slope and point
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Slope intercept form from table
Constructing equations in slope-intercept form
You know a bit about slope and intercepts. Now we will develop that know-how even further to construct the equation of a line in slope-intercept form.
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Graphing inequalities
Graphing Inequalities
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Solving and graphing linear inequalities in two variables 1
Solving and graphing linear inequalities in two variables
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Graphing linear inequalities in two variables example 2
Graphing Linear Inequalities in Two Variables
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Graphing inequalities 2
Graphing Inequalities 2
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Graphing linear inequalities in two variables 3
Graphing linear inequalities in two variables
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Graphing inequalities 1
Graphing Inequalities
Graphing linear 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.