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Straight-line graphs and y = mx + c worksheet — GCSE Foundation

Fifteen questions on "straight-line graphs and y = mx + c" — DfE statement A9. Print it, or print three versions so neighbours cannot copy by letter; the key gives the letter for each version.

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Straight-line graphs and y = mx + c worksheet — GCSE Foundation

Maths · GCSE Foundation · A9 · Straight-line graphs and y = mx + c · Non-calculator · 15 questions

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1.A pizza shop charges a fixed delivery fee of £3, plus £9 for each pizza ordered. Write down the function for the total cost y, in pounds, of ordering x pizzas.
(a)y = 3x + 9
(b)y = 12x
(c)y = 9x + 3
(d)y = 9x
2.A vertical line passes through the point (4, 7). Write down the equation of this line.
(a)y = 7
(b)x = 4
(c)x = 7
(d)y = 4x
3.A gas company charges a standing charge plus a rate per unit used. The total cost, y in pounds, for using x units is given by y = 0.15x + 20. Work out the cost of using 200 units.
y = 0.15x + 20
(a)£50
(b)£30
(c)£203
(d)£320
4.Work out the equation of the straight line through the points (−3, 4) and (1, −8).
(a)y = −3x − 5
(b)y = 3x − 11
(c)y = −3x + 5
(d)y = −3x + 11
5.A straight line has equation y = 2x − 7. Write down the coordinates of the point where the line crosses the y-axis.
y = 2x − 7
(a)(0, 7)
(b)(−7, 0)
(c)(2, −7)
(d)(0, −7)
6.A cycle route is 84 km long. Freya sets off along it at a steady 14 km/h. Write down the function for the distance y, in kilometres, that is still to be cycled after x hours.
(a)y = 84 + 14x
(b)y = 84 − 14x
(c)y = 14 − 84x
(d)y = 14x − 84
7.Which of these equations describes a vertical line?
(a)y = 5x
(b)x = y
(c)x = 5
(d)y = 5
8.A straight line has equation y = 5x. Work out the value of y when x = 3.
y = 5x
(a)8
(b)3
(c)−15
(d)15
9.A straight line passes through the points (2, 5) and (4, 11). Work out the gradient of the line.
(a)8/3
(b)−3
(c)3
(d)1/3
10.A plumber charges a call-out fee plus an hourly rate. The total cost, y in pounds, of a job lasting x hours is given by y = 45x + 60. Work out the total cost of a job that lasts 3 hours.
y = 45x + 60
(a)£315
(b)£108
(c)£135
(d)£195
11.Work out the equation of the straight line that passes through (−2, 3) and (4, −9).
(a)y = −2x − 1
(b)y = −2x + 1
(c)y = −(1/2)x + 2
(d)y = 2x + 7
12.A straight line passes through the points (1, 3) and (2, 5). Work out the equation of the line.
(a)y = x + 2
(b)y = 2x − 1
(c)y = 2x + 1
(d)y = 2x + 3
13.Work out the equation of the straight line through the points (−2, 1) and (0, 7).
(a)y = −3x + 7
(b)y = 3x + 1
(c)y = 3x + 7
(d)y = (1/3)x + 7
14.A water butt holds 200 litres and is being drained at a steady 8 litres per minute. Write down the function for the amount of water y, in litres, left after x minutes.
(a)y = 200x − 8
(b)y = −8x − 200
(c)y = 200 − 8x
(d)y = 8x + 200
15.A straight line has gradient −2 and passes through the point (3, 1). Work out the equation of the line.
(a)y = −2x + 7
(b)y = −2x − 5
(c)y = 2x + 7
(d)y = −2x + 1

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