Finding Slope & Writing Equations from Real-Life Scenarios

A car travels from point A (2, 3) to point B (6, 7). What is the slope of the line connecting these two points?

• 2

• 0.5

• 3

• 1

Using the points from the previous question, write the equation of the line in slope-intercept form.

• y = ax + c

• y = mx^2 + b

• y = m + b

• y = mx + b

A bike rental shop charges a flat fee of $10 plus $2 for each hour rented. If the total cost for 3 hours is $16, what is the slope of the line representing the cost as a function of hours?

• 3

• 5

• 2

• 1

Write the equation in slope-intercept form for the bike rental shop's cost based on the previous question.

• C = mx + b

• C = ax + b

• C = m + bx

• C = mx^2 + b

A student scored 70 on their first test and 90 on their second test. If we plot the scores on a graph, what is the slope of the line connecting these two points (1, 70) and (2, 90)?

• 30

• 10

• 20

• 50

Using the slope from the previous question, write the equation of the line in slope-intercept form that represents the student's test scores over time.

• y = x + c

• y = mx^2 + d

• y = b + mx

• y = mx + b

A store sells 5 shirts for $50 and 10 shirts for $90. What is the slope of the line that represents the cost of shirts as a function of the number of shirts bought?

• 5

• 10

• 15

• 8

Write the equation in slope-intercept form for the cost of shirts based on the previous question.

• C = 30S / 2

• C = 25S - 10

• C = 20S

• C = 15S + 5

A gardener plants flowers in two rows. The first row has 4 flowers at (1, 4) and the second row has 8 flowers at (3, 8). What is the slope of the line connecting these two points?

• 2

• 3

• -2

• 1

Using the slope from the previous question, write the equation of the line in slope-intercept form that represents the number of flowers planted over time.

• y = x + c

• y = mx^2 + d

• y = mx + b

• y = b + mx