Analyzing Graphs of Linear Equations

What is the y-intercept?

• (5, 0)

• (-5, 0)

• (0, 5)

• (0, -5)

Linear Functions are functions whose graph is a _______ _____.

• U-shaped curve

• V-shaped curve

• straight line

• wavy line

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

What does the m stand for?

• y-intercept

• x-intercept

• solution

• slope

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

What is the x-intercept?

• (5, 0)

• (-5, 0)

• (0, 5)

• (0, -5)

Identify the nature of solution from the graph given.

• Consistent and unique solution

• Inconsistent : No solution

Tags

CCSS.8.EE.C.8A

The graph shows the costs of lotion C, represented by line C, and lotion D, represented by line D. Decide of the following statements are true or false.

Groups:

(a) TRUE

,

(b) FALSE

• Lotion D costs more than Lotion C

• Lotion C cost more than Lotion D

• The cost of lotion C is $0.50 per ounce.

• The cost of lotion D is $2.00 per ounce.

Tags

CCSS.8.EE.B.5

• A

• B

• C

• D

Tags

CCSS.8.EE.C.8C

Choose the correct equation for the given graph.

• y = x + 2

• y = 4 + x

• y = x - 2

• y = 4 - x

Answer explanation

As we can see in the graph that the line is intersecting x axis at 2 and y axis at -2. So here we have got two points (2, 0) and (0, -2). Now let's substitute these points in y = x - 2 (2, 0) In LHS, y = 0 In RHS, x - 2 = 2 - 2 = 0 So, LHS = RHS (0, -2) In LHS, y = -2 In RHS, x - 2 = 0 -2 = -2 So, LHS = RHS Therefore, The graph in the figure is of the equation y = x - 2 and option 3 is the correct answer.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

The monthly cost of renting a laptop is shown in the graph. Which equation best represents the cost, y, of renting the laptop for, x, months?

• y = 45x

• y = 35x + 45

• y = 65x + 45

• y = 20x + 45

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

What is the solution? 

• 1

• -2

• (1, 2)

• (1, -1)

Tags

CCSS.8.EE.C.8B