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

Rewrite each quotient as a sum or a difference.
[math]\frac{4x-10}{2}[/math]
[math]\frac{1-50x}{-2}[/math]
[math]\frac{5(x+10)}{25}[/math]
[math]\frac{-\frac{1}{5}x+5}{2}[/math]
Here are two graphs that represent situations you have seen in earlier activities.
[img]data:image/png;base64,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[/img][br][size=150]The first graph represents [math]a=450-20t[/math], which describes the relationship between gallons of water in a tank and time in minutes. [/size][br]Where on the graph can we see the 450? 
Where can we see the -20? 
What do these numbers mean in this situation?[br]
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[/img][br][size=150]The second graph represents [math]6x+9y=75[/math]. It describes the relationship between pounds of almonds and figs and the dollar amount Clare spent on them.[br][/size]Suppose a classmate says, “I am not sure the graph represents [math]6x+9y=75[/math] 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.
[size=150]Each equation in the statement is in the form [math]Ax+By=C[/math].[/size][br][br]For each equation, graph the equation and on the same coordinate plane graph the line passing through [math](0,0)[/math] and [math](A,B)[/math]. What is true about each pair of lines?[br]
What are the coordinates of the [math]x[/math]-intercept and [math]y[/math]-intercept in terms of [math]A,B,[/math] and [math]C[/math]?[br]
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Information: IM Alg1.2.11 Lesson: Connecting Equations to Graphs (Part 2)