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

What does the m stand for?

• y-intercept

• x-intercept

• solution

• slope

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

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

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

• Lotion C cost more than Lotion D

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

• Lotion D costs more than Lotion C

• A

• B

• C

• D

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.

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

What is the solution? 

• 1

• -2

• (1, 2)

• (1, -1)