Date | May 2017 | Marks available | 2 | Reference code | 17M.1.SL.TZ2.T_4 |
Level | Standard Level | Paper | Paper 1 (with calculator from previous syllabus) | Time zone | Time zone 2 |
Command term | Find | Question number | T_4 | Adapted from | N/A |
Question
Line L intersects the x-axis at point A and the y-axis at point B, as shown on the diagram.
The length of line segment OB is three times the length of line segment OA, where O is the origin.
Point (2, 6) lies on L.
Find the equation of L in the form y=mx+c.
Find the x-coordinate of point A.
Markscheme
6=−3(2)+cOR(y−6)=−3(x−2) (M1)
Note: Award (M1) for substitution of their gradient from part (a) into a correct equation with the coordinates (2, 6) correctly substituted.
y=−3x+12 (A1)(ft) (C2)
Notes: Award (A1)(ft) for their correct equation. Follow through from part (a).
If no method seen, award (A1)(A0) for y=−3x.
Award (A1)(A0) for −3x+12.
[2 marks]
0=−3x+12 (M1)
Note: Award (M1) for substitution of y=0 in their equation from part (b).
(x=) 4 (A1)(ft) (C2)
Notes: Follow through from their equation from part (b). Do not follow through if no method seen. Do not award the final (A1) if the value of x is negative or zero.
[2 marks]