Explain Linear Equations on a Graph

Which graph is linear?

• Graph A

• Graph B

• Graph C

• Graph D

Tags

CCSS.8.F.A.3

Is this a function? Explain.

• Yes; it passes the horizontal line test.

• No; it is not a straight line.

• Yes; it passes the vertical line test.

• No; there is a line connecting the dots.

Find the slope

• -5/3

• -3/5

• 5/3

• 3/5

Tags

CCSS.8.EE.B.5

Graph. y = 2/3x - 3

• a

• b

• c

• d

Tags

CCSS.7.RP.A.2D

• y = 2x + 5
• y = -2x - 5
• y = -2x + 5
• y = 5x - 2

Which is the graph of y= -x + 2?

• A

• B

• C

• D

y = 2x + 5

• y = 2x + 5

• y = -2x - 5

• y = -2x + 5

• y = 5x - 2

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

What is the rate of change for the following graph?

• 80

• 20

• 40

• 160

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

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