Slope Calculations and Line Equations for Grade 8

A line on a graph passes through the points (2, 3) and (4, 7). What is the slope of the line?

• 3

• 4

• 1

• 2

Using the slope you found in the previous question, write the equation of the line in slope-intercept form.

• y = x + m

• y = b + mx

• y = mx - b

• y = mx + b

A car travels from point A (1, 2) to point B (5, 10). Calculate the slope of the line representing the car's path.

• 3

• 1

• 2

• 4

Based on the slope calculated in the previous question, write the equation of the line that represents the car's path.

• y = mx^2 + c

• y = m + b

• y = mx + b

• y = b + mx

A bike rental shop charges a flat fee of $5 plus $2 for each hour rented. What is the slope of the line representing the total cost?

• 5

• 3

• $10

• 2

Using the slope from the previous question, write the equation that represents the total cost of renting a bike for h hours.

• C = mh

• C = m + h

• C = mh + b

• C = h/m

A student scores 70 points on their first test and 90 points on their second test. If the tests are taken over a period of 4 weeks, what is the slope of the line representing the student's score over time?

• 15

• 20

• 10

• 5

Write the equation of the line that represents the student's score based on the slope you calculated in the previous question.

• y = b + mx

• y = mx^2 + c

• y = m + b

• y = mx + b

A gardener plants flowers in a straight line. If the first flower is planted at (0, 1) and the second at (3, 4), what is the slope of the line?

• 1

• 2

• 0.5

• 3

Using the slope from the previous question, write the equation of the line that represents the height of the flowers as they grow over time.

• height = b + mt

• height = m + b

• height = mt + b

• height = mt^2 + b