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IM Alg1.2.11 Lesson: Connecting Equations to Graphs (Part 2)

Rewrite each quotient as a sum or a difference.

Here are two graphs that represent situations you have seen in earlier activities.

The first graph represents , which describes the relationship between gallons of water in a tank and time in minutes.  Where on the graph can we see the 450? 

Where can we see the -20? 

What do these numbers mean in this situation?

The second graph represents . It describes the relationship between pounds of almonds and figs and the dollar amount Clare spent on them. Suppose a classmate says, “I am not sure the graph represents because I don’t see the 6, 9, or 75 on the graph.” How would you show your classmate that the graph indeed represents this equation?

Match each of the equations with the slope m and y-intercept of its graph.

Each equation in the statement is in the form . For each equation, graph the equation and on the same coordinate plane graph the line passing through  and . What is true about each pair of lines?

What are the coordinates of the -intercept and -intercept in terms of  and ?