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.A straight line passes through the points (0, 4) and (1, 9). Write down the gradient of the line.
- 2.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.
- 3.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
- 4.Write down the gradient of the line with equation y = 6 + 4x.
- 5.Work out the gradient of the straight line with equation 3y = 12 − 6x.
- 6.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.
- 7.Work out the gradient of the straight line that passes through the points (−1, 5) and (3, −7).
- 8.The graph of a straight line has equation y = 4x − 5. Beth says the y-intercept is 4. Work out the correct y-intercept.y = 4x − 5
- 9.A car's fuel tank contains 50 litres when it starts a journey. After travelling for 2 hours, it contains 38 litres, and fuel is used at a constant rate. Work out the rate at which fuel is used, in litres per hour.
- 10.A mobile phone plan charges a fixed monthly fee plus an amount for each gigabyte of data used. The total cost £C for using g gigabytes in a month is given by C = 15 + 2g. What does the number 2 represent in this formula?
- 11.Write down the y-intercept of the line with equation y = 3x + 8.y = 3x + 8
- 12.Write down the gradient of the line with equation y = −x + 3.y = −x + 3
- 13.A straight line passes through the points (2, 7) and (5, 16). Work out the value of y when x = 0.
- 14.A straight line has equation y = 4 − 3x. Work out the gradient of the line.
- 15.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.
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