Printable · GCSE Foundation · ages 14-16
Gradients and intercepts of linear functions worksheet — GCSE Foundation
Fifteen questions on "gradients and intercepts of linear functions" — DfE statement A10. Print it, or print three versions so neighbours cannot copy by letter; the key gives the letter for each version.
Gradients and intercepts of linear functions worksheet — GCSE Foundation
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- 1.Write down the gradient of the line with equation y = 6 + 4x.
- 2.Write down the y-intercept of the line with equation y = 3x + 8.y = 3x + 8
- 3.A straight line passes through the points (2, 7) and (5, 16). Work out the value of y when x = 0.
- 4.Work out the gradient of the straight line that passes through the points (−1, 5) and (3, −7).
- 5.A zip-line runs from a platform 25 m high to a landing point 5 m high, over a horizontal distance of 40 m. Work out the gradient of the zip-line.
- 6.Write down the coordinates of the point where the line y = 2x + 4 crosses the y-axis.y = 2x + 4
- 7.A hot air balloon is at a height of 20 m and rises at a steady rate. After 4 minutes it is at a height of 52 m. Work out the rate at which the balloon rises, in metres per minute.
- 8.A water tank empties according to y = −5x + 200, where y is the number of litres left after x minutes. Work out the coordinates of the point where this graph crosses the x-axis.y = -5x + 200
- 9.The line y = 3x + 6 meets the x-axis at one point. Work out the coordinates of that point.y = 3x + 6
- 10.A ramp rises 3 m over a horizontal distance of 12 m. Work out the gradient of the ramp.
- 11.Write down the gradient of the line with equation y = 7x − 2.y = 7x − 2
- 12.A straight line passes through the points (0, 4) and (1, 9). Write down the gradient of the line.
- 13.Write down the gradient of the line with equation y = −x + 3.y = −x + 3
- 14.A car passes the 15 km marker on a road and passes the 195 km marker 3 hours later. Work out the gradient of the distance-time graph, that is the rate of change of distance with time.
- 15.A printer starts a job with 480 sheets of paper loaded and prints at a steady rate. The number of sheets left, S, after t minutes is given by S = 480 − 24t. Work out how many minutes it takes for the paper to run out completely.
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