Straight Line Graphs

Mark scheme and answers · Total marks: 120

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Question 1 [3 marks]

A correct straight line with equation y = 2x + 1 drawn on the axes.

Mark scheme
  • A [1] — cao Horizontal line at y = 3 from x = 0 to x = 5

Accept algebraically equivalent correct forms.

Question 2 [3 marks]

A correct straight line with equation y = -x + 3 drawn on the axes.

Mark scheme
  • A [1] — cao Vertical line at x = 4 from y = 0 to y = 6

Accept algebraically equivalent correct forms.

Question 3 [3 marks]

A correct straight line with equation y = 3x + 2 drawn on the axes.

Mark scheme
  • A [1] — cao Straight line through (-2, -2) and (2, 2)

Accept algebraically equivalent correct forms.

Question 4 [3 marks]

A correct straight line with equation y = -2x + 10 drawn on the axes.

Mark scheme
  • A [1] — cao Straight line through (0, 0) and (4, 8)

Accept algebraically equivalent correct forms.

Question 5 [4 marks]

x values: 0, 4, 8, 12. Straight line y = 12 x + 2.

Mark scheme
  • A [1] — cao Straight line through (0, 1) and (5, 6)

Accept algebraically equivalent correct forms.

Question 6 [4 marks]

Missing y values: 5 and 9; missing x value: 4. Straight line y = x + 3.

Mark scheme
  • A [1] — cao Straight line through (-1, -12) and (3, 8)

Accept algebraically equivalent correct forms.

Question 7 [4 marks]

Missing y values: 6 and 10; missing x value: 8. Straight line y = 2x.

Mark scheme
  • A [1] — cao Straight line through (-1, 10) and (3, -6)

Accept algebraically equivalent correct forms.

Question 8 [4 marks]

Missing y values: 3, -1, -7. Straight line y = -2x + 5.

Mark scheme
  • A [1] — cao Straight line through (-4, -4) and (8, -1)

Accept algebraically equivalent correct forms.

Question 9 [5 marks]

25

Mark scheme
  • A [1] — cao Straight line through (-2, -2.5) and (4, 6.5)

Accept algebraically equivalent correct forms.

Question 10 [5 marks]

25

Mark scheme
  • A [1] — cao Straight line through (0, 0) and (12, 300), C = 25m

Accept algebraically equivalent correct forms.

Question 11 [5 marks]

25

Mark scheme
  • A [1] — cao Horizontal line at y = 3 from x = -2 to x = 2

Accept algebraically equivalent correct forms.

Question 12 [5 marks]

25

Mark scheme
  • A [1] — cao Straight line through (0, 10) and (2, 0)

Accept algebraically equivalent correct forms.

Question 13 [5 marks]

25

Mark scheme
  • A [2] — cao Straight line through (-2, -6) and (6, 10), y = 2x - 2

Accept algebraically equivalent correct forms.

Question 14 [5 marks]

25

Mark scheme
  • A [2] — cao Straight line through (-1, 3) and (7, -1), y = 2.5 - 0.5x

Accept algebraically equivalent correct forms.

Question 15 [3 marks]

A correct straight line drawn. Equivalent equation: y = -2x + 10.

Mark scheme
  • A [2] — cao Straight line through (-6, -2) and (6, 2)

Accept algebraically equivalent correct forms.

Question 16 [3 marks]

A correct straight line drawn. Equivalent equation: y = (12)x + 3.

Mark scheme
  • A [2] — cao Straight line through (-1, 5) and (4, -5)

Accept algebraically equivalent correct forms.

Question 17 [3 marks]

A correct straight line drawn. Equivalent equation: y = -x + 8.

Mark scheme
  • A [2] — cao Straight line through (-2, -2) and (6, 2)

Accept algebraically equivalent correct forms.

Question 18 [3 marks]

A correct straight line drawn. Equivalent equation: y = -(12)x + 2.

Mark scheme
  • A [2] — cao Straight line through (0, -2) and (6, 10), y = 2x - 2

Accept algebraically equivalent correct forms.

Question 19 [3 marks]

A correct straight line drawn. Equivalent equation: y = x + 3.

Mark scheme
  • A [2] — cao Straight line through (-4, 11) and (0, -5), y = -4x - 5

Accept algebraically equivalent correct forms.

Question 20 [4 marks]

(a) The gradient/sign has been handled incorrectly.
(b) y = -2x + 3.
(c) Correct line drawn.

Mark scheme
  • A [2] — cao Straight line through (0, 15) and (7, 65), C = 50d + 15

Accept algebraically equivalent correct forms.

Question 21 [4 marks]

(a) The gradient/sign has been handled incorrectly.
(b) y = x + 4.
(c) Correct line drawn.

Mark scheme
  • A [1] — cao Straight line through (0, -4) and (8, 4)

Accept algebraically equivalent correct forms.

Question 22 [4 marks]

(a) The gradient/sign has been handled incorrectly.
(b) y = -x + 2.
(c) Correct line drawn.

Mark scheme
  • A [2] — cao Straight line through (0, 3) and (2, 2), y = -0.5x + 3

Accept algebraically equivalent correct forms.

Question 23 [4 marks]

(a) The gradient/sign has been handled incorrectly.
(b) y = 2x - 1.
(c) Correct line drawn.

Mark scheme
  • A [2] — cao Straight line through (0, 4) and (3, 10), y = 2x + 4

Accept algebraically equivalent correct forms.

Question 24 [4 marks]

(a) The gradient/sign has been handled incorrectly.
(b) y = -0.5x + 1.
(c) Correct line drawn.

Mark scheme
  • A [2] — cao Straight line through (-2, 5) and (2, -3), y = -2x + 1

Accept algebraically equivalent correct forms.

Question 25 [4 marks]

(3, 4.5)

Mark scheme
  • A [2] — cao Straight line through (-2, -7) and (4, 5), y = 2x - 3

Accept algebraically equivalent correct forms.

Question 26 [4 marks]

(4, 2)

Mark scheme
  • A [2] — cao Straight line through (-1, 9) and (3, -3)

Accept algebraically equivalent correct forms.

Question 27 [4 marks]

(2, 5)

Mark scheme
  • A [2] — cao Straight line through (-5, -1) and (5, 3)

Accept algebraically equivalent correct forms.

Question 28 [5 marks]

(-2, 2)

Mark scheme
  • A [2] — cao Straight line through (-4, 3) and (8, -1)

Accept algebraically equivalent correct forms.

Question 29 [5 marks]

(3, -1.5)

Mark scheme
  • A [2] — cao Straight line through (4, 1) and (8, -1), y = -0.5x + 3

Accept algebraically equivalent correct forms.

Question 30 [5 marks]

(-0.5, 1.5)

Mark scheme
  • A [2] — cao Straight line through (0, 40) and (6, 220), T = 30h + 40

Accept algebraically equivalent correct forms.

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