Making Equations from Linear Representations

Make an equation from the graph.

• y = 2x + 3

• y = 3x + 2

• $y\ =\ \frac{1}{2}x\ +\ 3$
  

• y = 3x + 3

Make an equation from the graph.

• $y\ =\ \frac{2}{5}x\ +\ 100$

• y = 100x + 4

• y = 40x + 100

• y = 4x + 100

Make an equation from the table.

• y = 3x + 1

• y = 1x + 1

• y = 3x

• y = 2x + 3

Write an equation from the table.

• y = 3x + 1

• y = 7x + 2

• y = 3x + 4

• y = 1x + 7

Make an equation from the 2 points:

(4, 3) and (8,1)

• y = 2x - 15

• $y\ =\ -\frac{1}{2}x\ +\ 5$

• $y\ =\ \frac{1}{2}x\ +\ 5$

• y = -2x + 17

Make an equation from the 2 points:

(−3, 5) and (0, −4)

• y = -1x - 4

• $y\ =\ \frac{1}{3}x\ \ -\ 4$

• y = −3x − 4

• y = 3x - 4

What does the slope represent in this situation?

A water tank already contains 55 gallons of water when Baxter begins to fill it. Water flows into the tank at a rate of 8 gallons per minute.

• the amount of water in the tank before it is being filled

• the amount of water going into the tank per minute

• the total amount of water in the tank

• the amount of water leaving the tank per minute

What does the y-intercept represent in this situation?

A water tank already contains 55 gallons of water when Baxter begins to fill it. Water flows into the tank at a rate of 8 gallons per minute.

• the amount of water in the tank before it is being filled

• the amount of water going into the tank per minute

• the total amount of water in the tank

• the amount of water leaving the tank per minute

Jacob is ordering pizza to share with some friends. It costs $33 to have 3 pizzas delivered and $49 to have 5 pizzas delivered. The cost y, is a linear function of the number of x pizzas. Which equation represents this scenario?

• y = 8x + 9

• y = 9x + 8

• y = 8x + 57

The school's dance team will ride a bus to a dance competition on Saturday. The competition charges a fee for each dancer. The team's cost will be $1350 for 30 students or $1950 for 45 students. Which equation represents this scenario?

• y = 4x + 1230

• y = 40x + 150

• y = 1.5x