How do you find slope? (Unit 3, Lesson 1)[br][br]What is slope?
Create a graph showing the equations y=14x and y=14x−5. Explain how the graphs are the same and how they are different.
Solution[img]https://cdn.openupresources.org/uploads/pictures/8/8.3.B8.PP.graph3answer.png[/img]Answers vary. Sample response: The graphs have the same slope of 14 but different y-intercepts. The first is 0, and the second is -5. Another sample response: Each (x,y) on the first graph is translated down by 5 to get a corresponding point on the second graph.
A cable company charges $70 per month for cable service to existing customers.[list=1][*]Find a linear equation representing the relationship between x, the number of months of service, and y, the total amount paid in dollars by an existing customer.[/*][*]For new customers, there is an additional one-time $100 service fee. Repeat the previous problem for new customers.[/*][*]When the two equations are graphed in the coordinate plane, how are they related to each other geometrically?[/*][/list]
Solution[list=1][*]y=70x[/*][*]y=70x+100[/*][*]The two lines are parallel, with the second line being the first line translated vertically 100 units upwards.[/*][/list]
Match each graph to a situation.[img]https://cdn.openupresources.org/uploads/pictures/8/8.3.B6.PP.match11.png[/img][list=1][*]The graph represents the perimeter, y, in units, for an equilateral triangle with side length of x units. The slope of the line is 3.[/*][*]The amount of money, y, in a cash box after x tickets are purchased for carnival games. The slope of the line is 14.[/*][*]The number of chapters read, y, after x days. The slope of the line is 54.[/*][*]The graph shows the cost in dollars, y, of a muffin delivery and the number of muffins, x, ordered. The slope of the line is 2.[/*][/list]
Solution[list=1][*]C[/*][*]A[/*][*]D[/*][*]B[/*][/list]