Characteristics of Linear Functions Quiz

Identify the slope of the line with the equation y = 3x + 2.

• 1

• 7

• 5

• 3

Find the slope of the line passing through the points (2, 5) and (4, 9).

• 3

• 6

• 10

• 2

Determine the y-intercept of the line given by the equation y = -2x + 6.

• 3

• -2

• 0

• 6

What is the y-intercept of the line represented by the equation 2y = 4x - 8?

• -4

• 0

• 2

• 6

Write the equation of the line with a slope of 1/2 and a y-intercept of 3.

• y = 1/2x - 3

• y = (1/2)x + 3

• y = 2x + 3

• y = 3x + 1/2

Find the equation of the line passing through the points (3, 7) and (5, 11).

• y - 7 = 3(x - 3)

• y - 7 = 2(x - 3)

• y - 7 = 2(x + 3)

• y - 7 = -2(x - 3)

Select the choice which describes how to graph the linear function y = 2x - 3.

• Graph the linear function y = 2x - 3 by plotting the y-intercept at -3 and using the slope of 2 to find another point.

• Graph the linear function y = 2x + 3 by plotting the y-intercept at 3 and using the slope of 2 to find another point.

• Graph the linear function y = -2x - 3 by plotting the y-intercept at -3 and using the slope of -2 to find another point.

• Graph the linear function y = 2x - 3 by plotting the x-intercept at 3 and using the slope of 2 to find another point.

Select the choice which shows what the graph of the line represented by the equation y = -x + 4 looks like.

• The graph of the line y = -x + 4 is a straight line with a y-intercept at (0, 4) and a slope of -1.

• The graph of the line y = -x + 4 is a horizontal line

• The graph of the line y = -x + 4 is a parabola

• The graph of the line y = -x + 4 is a vertical line

Solve the problem: A linear function has a slope of 4 and passes through the point (2, 6). Find the equation of the line.

• y = 3x + 5

• y = 4x - 2

• y = 6x - 2

• y = 2x + 4

Using a linear function, solve the problem: A car rental company charges a flat fee of $50 plus $20 per day for renting a car. Write the equation to represent the total cost (C) for renting a car for d days.

• C = 50d + 20

• C = 20d + 50

• C = 10d + 100

• C = 30d + 50