Create and Graph Linear Equations from Two Points

A car travels from point A (2, 3) to point B (6, 7). Write the linear equation that represents the car's path. What is the slope of the line?

• y = x + 1; slope = 1

• y = 3x - 6; slope = 3

• y = -x + 5; slope = -1

• y = 2x + 1; slope = 2

Two friends start a lemonade stand. Friend 1 sells 3 cups at (1, 4) and 7 cups at (3, 10). Find the linear equation for Friend 1's sales. How many cups would they sell at x = 5?

• 8

• 12

• 16

• 20

A bike rental shop has two points of data: at 2 hours, 10 bikes are rented (2, 10) and at 5 hours, 25 bikes are rented (5, 25). Determine the linear equation for bike rentals. Graph this equation.

• y = 10x

• y = 15x - 5

• y = 5x

• y = 2.5x + 5

A gardener plants flowers in two rows. The first row has 4 flowers at (1, 2) and 10 flowers at (3, 6). Write the linear equation for the number of flowers. How many flowers would be in the row at x = 4?

• 13

• 15

• 8

• 10

A delivery truck travels from location (0, 0) to (4, 8). Create the linear equation for the truck's route. What is the y-intercept of this line?

• The y-intercept of this line is 4.

• The y-intercept of this line is 0.

• The y-intercept of this line is 2.

• The y-intercept of this line is 8.

A student scores 70 points at (1, 70) and 90 points at (3, 90) in a game. Write the linear equation for the student's score. How many points would they score at x = 5?

• 85

• 110

• 100

• 95

A store sells 5 items for $15 at (1, 15) and 10 items for $30 at (2, 30). Find the linear equation for the store's pricing. Graph this equation and identify the slope.

• y = 10x

• y = 5x

• y = 20x

• y = 15x

A train travels from station A at (1, 50) to station B at (4, 80). Write the linear equation for the train's speed. What is the speed of the train per hour?

• 8.75

• 15.25

• 10.05

• 12.50

A restaurant serves 20 meals at (2, 40) and 50 meals at (5, 100). Determine the linear equation for the meals served. How many meals would they serve at x = 6?

• 80

• 100

• 140

• 120

A school has 100 students enrolled at (0, 100) and 150 students enrolled at (5, 150). Write the linear equation for student enrollment. Graph this equation and find the enrollment at x = 3.

• 130

• 150

• 120

• 140