Slopes and Y-Intercepts from Graphs

Which situation could be represented by the graph above?

Tags

CCSS.8.EE.B.5

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  $\frac{4}{1}$  .

Tags

CCSS.HSF.LE.B.5

Ethan tracks the number of pages he reads each day for his summer reading book. What could the vertical intercept represent?

• Ethan reads 40 pages every day.

• Ethan has 40 pages left to read

• Ethan has already read 40 pages.

• It takes Ethan 4 days to read 160 pages.

Tags

CCSS.HSF.LE.B.5

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.

Tags

CCSS.HSF-LE.A.1B

When you graph the exact same equation twice,

• you will have no solution. 

• you will have one solution.

• you will have infinite solutions. 

• you will graph a giraffe. 

Tags

CCSS.8.EE.C.8A

Use the graph to find all the possible solutions on the line y = -2x + 3.
Then choose the correct answer.

•   (2, 0)  (1, 2)  
        (4, -4)  (-3, 10)

•   (3, 11)  (-2, -4)  
      (1, 5)  (-1, -1)

•  (0, 1)  (1, 6)  
        (1, -2)  (10, -16)

•   (-1, 5)  (-3, 9)  
       (1, 1)  (6, -9)

Tags

CCSS.8.EE.C.8B

How many solutions does the following system have? Why?
y = -2/3x + 5
2x + 3y = 15

• None.  The equations have the same slope and different  
  y-intercepts

• Infinitely many.  The equations are exactly the same when in slope-intercept form.

• Three.  There are two equations so there are exactly three solutions to the system.

• One.  The equations have different slopes so there is exactly one solution.

Tags

CCSS.8.EE.C.8B

 y = 4x - 5
Which graph is correct?

• Graph A

• Graph B

• Graph C

• Graph D

Is the point (2, 3) a possible solution? Explain.

• Yes.  The point is on the graphed line.

• No.  The point is NOT on the graphed line.

What is the slope and intercept of the linear model:  y = -x

• m = 1    b = 0

• m = 0    b = -1 

• m = -1    b = 0

• m = 0    b = 1

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3