Graphs 1

3 marks · Normal

The line L has the equation . A point A lies on the Cartesian plane.

(a)

Write down the y-coordinate of the point where line L crosses the y-axis.

[1 mark]

(b)

Find the x-coordinate of the point where line L crosses the x-axis.

[2 marks]

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(a) -5

(b) 2.5

Common mistakes: Incorrect substitution for x or y; Sign error when solving for x

Show mark scheme and worked solution

Marking points

B1 (a) · 1 mark · Writes y-intercept as –5

M1 (b) · 1 mark · Sets y = 0 and starts solving 0 = 2x – 5

A1 (b) · 1 mark · Correctly finds x = 2.5 (follow-through)

Worked solution

(a) For the y-intercept, x = 0:

So, the y-coordinate is –5.

(b) For the x-intercept, y = 0:

So the x-coordinate is 2.5.