Derive y=mx+b Worksheets Grade 8

1. Find the slope of the line that passes through points (3, 7) and (8, 22).
2. Find the slope (m) and y-intercept (b) of the line that passes through points (2, 5) and (4, 9), then write the equation in y = mx + b form.
3. Points (3, 13) and (7, 29) lie on a line. Derive the equation in y = mx + b form.

…and 5 more problems

1. Olivia is saving money to buy a new bicycle. She already has $45 saved from her birthday. She plans to mow lawns in her neighborhood to earn more money. For each lawn she mows, she charges $15. Olivia wants to know how much total money she will have after mowing a certain number of lawns. Write a linear equation in the form y = mx + b that represents the total amount of money y (in dollars) Olivia will have after mowing x lawns.
2. A spacecraft is traveling at a constant speed of 2.8 × 10^4 kilometers per hour. The distance it has traveled is given by the equation y = mx + b, where y is the total distance in kilometers and x is the time in hours. If the spacecraft had already traveled 1.5 × 10^5 kilometers before starting its current journey, how many kilometers will it have traveled after 8 hours?
3. A line passes through points (1, 11) and (6, 36). Write the equation in y = mx + b form.

…and 4 more problems

1. Matiu is helping his family track the water level in their rainwater tank. At the start of a dry spell (day 0), the tank contained 120 liters of water. After 4 days without rain, the tank had dropped to 72 liters. Assuming the water level decreases at a constant rate, write a linear equation in the form y = mx + b that represents the amount of water y (in liters) in the tank after x days.
2. Points (3, 17) and (9, 41). Find equation in y = mx + b form.
3. Find the slope of the line passing through points (4, 7) and (8, 15).

…and 4 more problems