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 has equation 4y = 12x + 20. Work out the gradient of the line.y = 12x + 20
- 2.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.
- 3.Write down the gradient of the line with equation y = −x + 3.y = −x + 3
- 4.Write down the coordinates of the point where the line y = 2x + 4 crosses the y-axis.y = 2x + 4
- 5.Work out the coordinates of the point where the graph of y = 2x − 6 crosses the x-axis.y = 2x − 6
- 6.A ramp rises 3 m over a horizontal distance of 12 m. Work out the gradient of the ramp.
- 7.The graph of y = mx + 6 passes through the point (−2, 0). Work out the value of m.
- 8.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.
- 9.A straight line has equation y = 4 − 3x. Work out the gradient of the line.
- 10.A straight line passes through the points (0, 4) and (1, 9). Write down the gradient of the line.
- 11.Write down the gradient of the line with equation y = 6 + 4x.
- 12.The line y = 3x + 6 meets the x-axis at one point. Work out the coordinates of that point.y = 3x + 6
- 13.A straight line passes through the points (2, 7) and (5, 16). Work out the value of y when x = 0.
- 14.Write down the gradient of the line with equation y = 7x − 2.y = 7x − 2
- 15.Write down the y-intercept of the line with equation y = 3x + 8.y = 3x + 8
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