Video by Julie Harland http://yourmathgal.com This is part 4 of a series of videos about graphing lines. 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.<br />For more great math videos visit: www.youtube.com/user/videosbyjulieharland/videos<br />Aligned to Common Core State Standard: 8.EE.6
Graphing Lines Part 4
Use similar triangles to explain why the slope 𝑚 is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation 𝑦 = 𝑚𝑥 for a line through the origin and the equation 𝑦 = 𝑚𝑥 + 𝑏 for a line intercepting the vertical axis at 𝑏.