Linear Relationships

Select the points that are on the graph of the line

3x + 5y = 30

• (0,10)

• (1,5)

• (0,6)

• (5, 5/3)

What is the slope of line l?

• 20

• 1

• 1/20

• 3/4

• 4/3

Select all the equations for which (-6,-1)

is a solution.

• y = 4x +23

• 3x = 1/2 y

• 2x - 13y =1

• 3y = 1/2 x

• 2x + 6y = -6

Elena’s aunt pays her $1 for each call she makes to let people know about her aunt’s new business. The table shows how much money Diego receives for washing windows for his neighbors.

Select all the statements about the situation that are true.

• Elena makes more money for making 10 calls than Diego makes for washing 10 windows.

• Diego makes more money for washing each window than Elena makes for making each call.

• Elena makes the same amount of money for 20 calls as Diego makes for 18 windows

• Diego needs to wash 35 windows to make as much money as Elena makes for 40 calls.

• The equation y=x, where y is the number of dollars and x is the number of calls, represents Elena’s situation.

A container of fuel dispenses fuel at the rate of 5 gallons per second. If y represents the amount of fuel remaining in the container, and x represents the number of seconds that have passed since the fuel started dispensing, then x and y satisfy a linear relationship. In the coordinate plane, will the slope of the line representing that relationship have a positive, negative, or zero slope?

• positive

• negative

• zero

The graph shows a linear relationship between x

and y. x represents the number of comic books Priya buys at the store, all at the same price, and y represents the amount of money (in dollars) Priya has after buying the comic books.

How much money will she have after she buys 3 books?

• 12

• 3

• 8

• 24

Find the Equation for line red line.

• y = 4

• x = 4

• y = 0

• undefined

Write the equation of the yellow line.

• x = -6

• x = 6

• y = 6

• y = -6

What letter represents the slope in the equation y = mx + b ?

• x
• y
• m
• b

In the following equation, what is the y-intercept?  
y = -3x + 7

• -3
• 7
• -3/7
• 3