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Date May 2015 Marks available 2 Reference code 15M.1.sl.TZ2.3
Level SL only Paper 1 Time zone TZ2
Command term Find Question number 3 Adapted from N/A

Question

The equation of the line L1 is 2x+y=10.

Write down

(i)     the gradient of L1;

(ii)     the y-intercept of L1.

[2]
a.

The line L2 is parallel to L1 and passes through the point P(0, 3).

Write down the equation of L2.

[2]
b.

The line L2 is parallel to L1 and passes through the point P(0, 3).

Find the x-coordinate of the point where L2 crosses the x-axis.

[2]
c.

Markscheme

(i)     2     (A1)     (C1)

(ii)     10     (A1)     (C1)

a.

2x+y3=0     (A1)(ft)(A1)     (C2)

Notes: Award (A1)(ft) for gradient, (A1) for correct y-intercept.

The answer must be an equation.

b.

2x+3=0or equivalent     (M1)

(x=) 1.5     (A1)(ft)     (C2)

 

Notes: Follow through from their equation in part (b). If answer given as coordinates (1.5, 0) award at most (M1)(A0) if working seen or (A1)(A0) if no working seen.

c.

Examiners report

[N/A]
a.
[N/A]
b.
[N/A]
c.

Syllabus sections

Topic 5 - Geometry and trigonometry » 5.1 » Equation of a line in two dimensions: the forms y=mx+c and ax+by+d=0 .
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