Let’s see what happens to the equations of translated lines. 3-8: Learning Goals Download for free at openupresources.org. Let’s see what happens to the equations of translated lines.

3-8-1: Lines That Are Translations Download for free at openupresources.org. Launch - slide is animated - 5 minutes

3-8-2: Increased Savings Download for free at openupresources.org. Launch - digital access - 15 minutes - image is hyperlinked to student Geogebra applet

3-8-3: Translating a Line Download for free at openupresources.org. Launch - digital access for students - 15 minutes - image is hyperlinked to student Geogebra applet

3-8-3: Translating a Line Download for free at openupresources.org. Launch - digital access for students - 15 minutes

3-8: Lesson Synthesis Download for free at openupresources.org. Display a graph of two lines on the same set of axes: one of the form y=mx and the other of the form y=mx+b. Discuss: “How can we think of one of these lines as a transformation of the other?” “What is the equation of the line that goes through the origin?” (Discuss how you need to figure out the slope.) “How is the equation of the line that does not go through the origin different?” (Make sure to bring out that the b in mx+b gives the vertical translation to get from the graph of y=mx to the graph of y=mx+b; the translation is up when b>0 and down when b<0.)

I can write equations of lines using y=mx+b. 3-8: Learning Targets Download for free at openupresources.org. I can write equations of lines using y=mx+b. I can explain where to find the slope and vertical intercept in both an equation and its graph.

3-8-4: Similarities and Differences in Two Lines Download for free at openupresources.org. Describe how the graph of y=2x is the same and different from the graph of y=2x−7. Explain or show your reasoning. Cool-down - 5 minutes