Graphing 1: This video is an introduction to the Rectangular Coordinate System and covers the basic vocabulary, definitions, ordered pairs, and how to plot points on the x-y plane.
http://www.youtube.com/watch?v=6oJl1RGbInk
Graphing 2: Covers how to determine is a given ordered pair is a solution to an equation and therefore a point on the line. Also shows how to find ordered pair solutions to a linear equation.
http://www.youtube.com/watch?v=l2veOwP9xr4
Graphing 3: Covers how to complete ordered pair solutions if the x or y coordinate is given. Also covers how to make a table of ordered pair solutions if the equation is solved for y, how to plot those on the x-y plane and graph the line.
http://www.youtube.com/watch?v=RSmHLAK-ssg
Graphing 4: Covers how to make a table of ordered pair solutions if the equation is solved for y, how to plot those on the x-y plane and graph the line. Includes equations with fractions and how to choose convenient values of x in the chart to make computation and graphing points easier.
http://www.youtube.com/watch?v=8OUvFd-jMGY
New 2018:
Graphing 5: Covers how to solve an equation for y so it is easy to plug in convenient values for x, make a table of ordered pairs, plot the points and graph the line. Also, solving for y will be useful to get equations in slope intercept form and graph using that method, which is covered in later videos.
http://www.youtube.com/watch?v=dZT203NHvaM
Graphing 6: Covers the special cases of graphing horizontal and vertical lines which are in the form x=k or y=k, where k is any number.
http://www.youtube.com/watch?v=f3z89-gbLGU
New 2018:
Find the x and y intercepts of a line from its equation 1
Find the x and y intercepts of a line from its equation 2
Find intercepts and graph line in form Ax+By=C
Find intercepts and graph line in slope-intercept form y=mx+b
Graphing 7: Covers how to find the x and y intercepts of a line, and how to plot those points to graph the line.
http://www.youtube.com/watch?v=S0HoxE0WMXw
Graphing 8: Shows more examples of how to graph lines by making a table or chart of ordered pairs, or using the x and y intercept method. It also shows how to decide which method is easiest for a given equation.
http://www.youtube.com/watch?v=C3GWDjjqVSc
Graphing 9: This covers the concept of slope, what it means and how to find the slope of a line by looking at its graph.
http://www.youtube.com/watch?v=fCIuiQz2Zv4
Graphing 10: This is a continuation of the ideas presented in part 9, and continues to cover the basic idea of slope, what it means, and how you can determine the slope by looking at a graph. More examples are included.
http://www.youtube.com/watch?v=SM3bj7zA0FM
Graphing 11: Covers the algebraic formula used to find the slope of a line passing through two points.
More examples are in the next video, Graphing 12.
http://www.youtube.com/watch?v=bploNzF7cxg
Graphing 12: Continuation of the ideas from Graphing 11: More examples showing how to find the slope of a line passing through two points by using the algebraic formula for slope.
http://www.youtube.com/watch?v=hPryexyt6Sg
Graphing 13: Shows how to graph a line if you know the slope and one point on the line.
http://www.youtube.com/watch?v=Ty-ySVSFmEA
Graphing 14: This is an introduction to the slope-intercept form of a line, and how to identify the slope and y-intercept from an equation.
http://www.youtube.com/watch?v=U6x-L49_P0k
Good video by another instructor showing how to graph lines using slope and y-intercept method: https://youtu.be/AYCElcAQ3Es
New 2018
Write general equation of line in slope-intercept form. State slope and y-intercept.
Graphing 15: Shows how to graph a line using the slope-intercept method.
http://www.youtube.com/watch?v=XwyMlLpWVS0
Graphing 16: This is a part 2 of Graphing Lines using the slope intercept method.
http://www.youtube.com/watch?v=og4Zo5KiEq8
Graphing 17: This is a summary of the 3 methods for graphing lines.
http://www.youtube.com/watch?v=hs7BxU2strY
Graphing 18: This video covers to how to write equations of lines given info about the line.
http://www.youtube.com/watch?v=9h78OnmH6gk
Graphing 19: This video covers how to find the equations of lines if you know the slope and a point. Goes over the point-slope formula.
http://www.youtube.com/watch?v=kHAZCA7O8UQ
Graphing 20: This video puts it all together...how to write equations of lines, stating the x and y intercepts, using the slope point formula, graphing the line, etc.
http://www.youtube.com/watch?v=vmzxJGrd9EM
Graphing 21: Covers how to write the equation of a line if you know two points on the line.
http://www.youtube.com/watch?v=U1oZU8Xzoik
Graphing 22: Part 2 of how to write the equation of a line if you know 2 points on the line.
http://www.youtube.com/watch?v=Ltapa5XJAkI
Graphing 22.5: Writing Equations of Lines (Special Cases): http://youtu.be/pCrPqnG7qOE
Sorry that the audio is not great. I had trouble with the audio.
Graphing 23: Covers parallel and perpendicular lines in relation to their slopes.
http://www.youtube.com/watch?v=A5oxqOB7-9Q
Graphing 24: Covers writing equations of lines parallel or perpendicular to a given line if you know a point on the line.
http://www.youtube.com/watch?v=Ad9fwGCJ6WU
Below are videos showing how to graph linear inequalities such as y < 2x - 1, etc.
Graph Linear Inequalities 2 variables Part 1 - Intro
Graph Linear Inequalities 2 variables Part 2
Graph Linear Inequalities 2 variables Part 3
Graph Linear Inequalities 2 variables Part 4--special cases such as x > -2 or y ≤ 3
Graph Linear Inequalities 2 variables Part 5