Mastering Slope and Line Equations: Word Problems for 8th Graders

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 = m + b

• y = mx^2 + b

• y = ax + c

• y = mx + b

A bike rental shop has two locations. The first location is at (1, 5) and the second at (4, 11). Calculate the slope of the line that connects these two locations.

• 2

• 1

• 3

• 5

Based on the bike rental shop's locations, write the equation of the line that represents the relationship between the two points.

• y = (y1 + y2) / (x1 + x2)

• y = mx + b where b = y1 - mx1

• y - y2 = m(x - x2) where m = (x2 - x1) / (y2 - y1)

• y - y1 = m(x - x1) where m = (y2 - y1) / (x2 - x1)

A runner's distance from the starting point is represented by the points (0, 0) and (5, 10). What is the slope of the line that represents the runner's path?

• 2

• 3

• 5

• 1

Using the runner's points, write the equation of the line that models the runner's distance over time.

• y = mx + b, where m is the slope and b is the y-intercept.

• y = ax^2 + c, where a is the coefficient and c is the constant.

• d = rt, where d is distance, r is rate, and t is time.

• y = kx + d, where k is the constant rate and d is the distance.

A store's sales increased from (2, 20) to (5, 50). Calculate the slope of the sales increase.

• 15

• 20

• 5

• 10

Write the equation of the line that represents the sales increase for the store based on the points given.

• y = mx + b, where m is the slope and b is the y-intercept.

• y = ax + c, where a is the slope and c is the y-intercept.

• y = m + b, where m is the slope and b is the total sales.

• y = mx^2 + b, representing a quadratic relationship.

A student scored 70 on their first test (1, 70) and 90 on their second test (3, 90). What is the slope of the line connecting these two scores?

• 5

• 20

• 10

• 15

Using the test scores, write the equation of the line that models the student's performance over the two tests.

• y = mx^2 + b, where m is the slope and b is the y-intercept.

• y = mx + b, where m is the slope and b is the y-intercept.

• y = ax^2 + c, where a is the coefficient and c is the constant.

• y = mx + c, where m is the slope and c is the constant term.