Understand Slope Worksheets Grade 8

1. Liam is designing a wheelchair ramp for his school's new accessibility project. The building code requires that for every 3 inches of vertical rise, the ramp must extend at least 36 inches horizontally. If the ramp needs to reach a doorway that is 15 inches above ground level, what is the minimum horizontal length the ramp must extend?
2. (2x + 8) ÷ 2 = 10
3. A rectangular garden is drawn on a coordinate plane with corners at (1, 2), (7, 2), (7, 8), and (1, 8). A diagonal path is drawn from the bottom-left corner to the top-right corner. What is the slope of this diagonal path?

…and 6 more problems

1. Mason is analyzing the steepness of a ramp on a coordinate grid. The ramp passes through points (2, 7) and (12, 17). What is the slope of the ramp?
2. Tane plots two points on a coordinate grid: A(10, 14) and B(22, 38). He draws a straight line through these points. What is the slope of this line?
3. Nikau is hiking up a mountain trail. The trail rises 20 meters vertically for every 5 meters horizontally. What is the slope of the trail?

…and 6 more problems

1. A line passes through the points (3, 5) and (7, 13). What is the slope of this line?
2. A line is drawn on a coordinate plane that passes through points (3, 7) and (9, 19). Another line is drawn perpendicular to this line and passes through point (6, 13). What is the slope of this perpendicular line?
3. (-2 - 4) ÷ (3 - (-1)) = ?

…and 6 more problems