Reading Linear Equations on a Graph

Does this graph show a proportional relationship?

• Yes, because it is linear

• Yes, because it is linear and goes through the origin.

• No, because it is not linear

• No, because it does not go through the origin.

What is the rate of change for the following graph?

• 80

• 20

• 40

• 160

Which graph shows a proportional relationship between x and y?

• F

• G

• H

• J

Which line shows a proportional relationship between x and y?

• Line L

• Line M

What is the constant of proportionality between the number of pages read and the number of hours spent reading?

• 45 pages per hour

• 90 pages per hour

• 135 pages per hour

• 270 pages per hour

What can you use to represent linear relationships?

• verbal descriptions

• equations

• graphs

• tables

• all of the above

The graphs of line n₁ and n₂ are shown on the grid.

Which system of equations is best represented by this graph?

The line graphed on the grid represents the first of two equations in a system of linear equations.

If the graph of the second equation in the system passes through the points (-10, -4) and (0, 6), which statement is true?

• The only solution to the system is

  (0, 6)

• The system has an infinite number of solutions.

• The only solution to the system is (-4, 2)

• The system has no solution.

The tables of ordered pairs represent some points on the graphs of lines a and b.

Which system of equations is represented by lines a and b?

• (4, 0)

• (-2, 6)

• (0,4)

• (8, -2)