Master Linear Functions: Slope-Intercept Form, Graphing, and More

Question 1

What is the slope of the line represented by the equation y = 2x - 5?

Accepted Answer

2

Answer

5

Answer

-5

Answer

-2

Question 2

Which of the following equations represents a line with a y-intercept of 3 and a slope of -1?

Accepted Answer

y = -x + 3

Answer

y = x - 3

Answer

y = x + 3

Answer

y = -x - 3

Question 3

A line passes through the points (2, 1) and (4, 5). What is the slope of this line?

Accepted Answer

2

Answer

-1/2

Answer

1/2

Answer

-2

Question 4

The graph of the equation y = -3x + 4 intersects the y-axis at what point?

Accepted Answer

(0, 4)

Answer

(3, 0)

Answer

(4, 0)

Answer

(0, -3)

Question 5

A car is traveling at a constant speed of 60 miles per hour.  Which equation represents the distance (d) traveled in terms of time (t)?

Accepted Answer

d = 60t

Answer

d = t/60

Answer

d = 60/t

Answer

d = t + 60

Question 6

Which of the following equations represents a linear function?

Accepted Answer

y = 2x + 3

Answer

x^2 + y^2 = 1

Answer

y = e^x

Answer

y = x^(1/2)

Question 7

What is the slope of the line represented by the equation y = -3x + 5?

Accepted Answer

-3

Answer

-1/3

Answer

1/3

Answer

5

Question 8

What is the y-intercept of the line represented by the equation 2x + 3y = 6?

Accepted Answer

2

Answer

-3

Answer

3

Answer

-2

Question 9

Which of the following graphs represents the line y = 2x - 1?

Accepted Answer

Image of a graph that shows a straight line passing through the points (0, -1) and (1, 1).

Answer

Image of a graph that shows a circle.

Answer

Image of a graph that shows a parabola opening upwards.

Question 10

Write the equation of the line that passes through the points (2, 5) and (-1, 1).

Accepted Answer

y = 2x + 1

Answer

y = -x + 5

Answer

y = x + 3

Answer

y = -2x + 1

Question 11

Find the slope of the line that is perpendicular to the line represented by the equation y = -2x + 3.

Accepted Answer

1/2

Answer

-2

Answer

-1/2

Answer

2

Question 12

What is the x-coordinate of the point of intersection of the lines y = x + 2 and y = -x + 4?

Accepted Answer

1

Answer

-1

Answer

2

Answer

0

Question 13

The number of bacteria in a culture doubles every hour. If there are initially 1000 bacteria, how many bacteria will there be after 5 hours?

Accepted Answer

32000

Answer

10000

Answer

2000

Answer

5000

Question 14

What is the domain of the linear function f(x) = (x - 2)/(x + 1)?

Accepted Answer

All real numbers except -1

Answer

Only negative real numbers

Answer

All real numbers

Answer

Only positive real numbers

Question 15

The cost of renting a car is $50 per day plus $0.25 per mile. Write an equation to represent the total cost of renting a car for d days and driving m miles.

Accepted Answer

Total Cost = 50d + 0.25m

Answer

Total Cost = 0.25d + 50m

Answer

Total Cost = 0.25d - 50m

Answer

Total Cost = 50d - 0.25m