Unit 3 Lesson 8

Select all equations that have graphs with the same y-intercept.

• $y=2x-6$

• $y=2x+5$

• $y=3x-6$

• $y=3x+6$

• $y=\frac{1}{2}x-6$

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CCSS.HSA.REI.D.10

CCSS.HSS.ID.C.7

Which graph is showing the equations  $y=\frac{1}{3}x\ and\ y=\frac{1}{3}x-3$  graphed correctly?

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CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

Select all true statements comparing $y=4x$ and $y=4x-5$  .

• They have the same slope.

• They are parallel lines.

• They have the same y-intercept.

•  $y=4x-5$  is a translation 5 units down from  $y=4x$  .

•  $y=4x-5$  is a translation 5 units up from  $y=4x$  .

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CCSS.HSF.BF.B.3

CCSS.HSG.GPE.B.5

A cable company charges $60 per month for cable service to existing customers. Write 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.

•  $y=60x$  

•  $y=60\ +\ x$  

•  $y=\frac{60}{x}$  

•  $y=x-60$  

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

A cable company charges $60 per month for cable service to existing customers. For new customers, there is an additional one-time $100 service fee. Choose all equations that would represent the relationship between x, the number of months of service, and y, the total amount paid in dollars by an existing customer.

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   $y=60x+100$  
  

•  $60x+100=y$  

•  $y=100+60x$  

•  $y=100x+60$  

•  $160x=y$  

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CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.2

When  $y=\frac{2}{3}x$  and  $y=\frac{2}{3}x+4$  are graphed on the same coordinate plane, how are they related to each other geometrically?

• They have different starting points (y-intercepts).

• They have different slopes.

• They have the same slopes and will create intersecting lines.

• They have the same slopes and will create parallel lines.

•   $y=\frac{2}{3}x$  is a translation of  $y=\frac{2}{3}x+4$  4 units down.

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CCSS.HSA.REI.C.6

CCSS.HSG.CO.A.1

CCSS.HSG.GPE.B.5

Which situation could be represented by the graph above?

• The number of sit-ups, y, after x seconds. The slope of the line is  $\frac{5}{4}$  .

• The number of sit-ups, y, after x seconds. The slope of the line is  $\frac{4}{5}$  .

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSS.ID.C.7

Which situation could be represented by the graph above?

• The amount of money, y, in a cash box after x tickets are purchased for carnival games. The slope of the line is  $\frac{1}{4}$  and the y-intercept is 7 .

• The amount of money, y, in a cash box after x tickets are purchased for carnival games. The slope of the line is  $\frac{1}{4}$ .

• The amount of money, y, in a cash box after x tickets are purchased for carnival games. The slope of the line is  $\frac{4}{1}$  and the y-intercept is 7 .

• The amount of money, y, in a cash box after x tickets are purchased for carnival games. The slope of the line is  $\frac{4}{1}$  .

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CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSS.ID.C.7

A linear relationship is

• always a positive line.

• a relationship between two quantities

• always a negative line.

• one quantity has a constant rate of change with respect to the other.

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CCSS.HSF.BF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSS.ID.C.7

How can you find the rate of change from a non-proportional graph?

• I can pick a point, then divide y/x.

• I can look at the point where the line crosses the vertical axis.

• I can take any two points on the graph and divide the amount of vertical change (y-y) by the amount of horizontal change (x-x).

• I can use any one point to fin the rate of change.

• I can count rise over run.

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CCSS.HSF.IF.B.6

CCSS.HSS.ID.C.7