0580/32 Feb/Mar 2021, Question 6: The Equation y = mx + c

Part (a) · 1 mark

State the meaning of parallel for lines A and B.

1. 1Parallel lines are always the same distance apart and never meet (they have the same gradient)

AnswerCorrect explanation

Part (b) · 1 mark

Give the coordinates of point P from the grid.

1. 1P is at x = 5, y = 8
2. 2P = (5, 8)

Answer(5,8)

Part (ci) · 1 mark

Name shape S mathematically.

1. 1Two pairs of parallel sides (vertical sides and the sloping sides on lines A and B)
2. 2Parallelogram

AnswerParallelogram

Part (cii) · 1 mark

Calculate the area of shape S in cm².

1. 1Base = vertical side from (5, 3) to (5, 8) = 5 cm
2. 2Perpendicular height = 5 − 2 = 3 cm
3. 3Area = 5 × 3 = 15 cm²

Answer15

Part (di) · 1 mark

Determine the gradient of line A.

1. 1Line A passes through (0, 6) and (5, 8)
2. 2Gradient = (8 − 6)/(5 − 0) = 2/5

Answer2/5

Part (dii) · 2 marks

Write the equation of line A.

1. 1Line A crosses the y-axis at 6, so c = 6.
2. 2Line A goes up 2 for every 5 across, so gradient = 2/5.
3. 3y = (2/5)x + 6

Answery = (2/5)x + 6

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