SPM 2020 Add Maths Paper 1, Question 12Coordinate Geometry

Solved on video in English and Bahasa Melayu · 6 marks · Form 4, Coordinate Geometry · 4:36 video

The question

(a)

It is given the straight lines y + 2x - 4 = 0 and 4y = -8x - 1 lie on the same Cartesian plane. Will both straight lines intersect each other? Give a reason to support your answer.

[2 marks]

(b)(i)

A straight line passes through A(0, 6) and B(-2, 0). Write the equation of the straight line AB in the intercept form.

[2 marks]

(b)(ii)

Point H lies on the straight line AB such that AH = HB. State the coordinates of H.

[2 marks]

SPM 2020 Add Maths Paper 1, Question 12: the question as drawn in Eduly's video4:36

Part (a)

Step 1

Write each line in gradient form. Line 1: y = -2x + 4, gradient = -2.

Why this step

We can only read the gradient when y is alone: in y = mx + c, the number in front of x is the gradient.

3 more steps, each with the reason for it, in the full solution

Final answer

No, the lines are parallel (both gradient -2), so they never intersect

Where students lose marks

Watch out: don't just compare the gradients. Write the reason clearly: equal gradients mean the lines are parallel, so they never intersect.

Part (b)(i)

3 more steps, each with the reason for it, in the full solution

Final answer

x/(-2) + y/6 = 1

Where students lose marks

Watch out: the intercept form is x/(x-intercept) + y/(y-intercept) = 1. Keep the sign of -2 and never change the 1 to -1.

Part (b)(ii)

3 more steps, each with the reason for it, in the full solution

Final answer

H = (-1, 3)

Where students lose marks

Watch out: write the midpoint as (x, y), not (y, x). The x-coordinate is -1 and the y-coordinate is 3, so H = (-1, 3).

Watch every step of this question solved on video (4:36), with the reason behind each step and a box that checks your own answer.

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