Easy -1.2 This is a straightforward application of the parallel lines property (same gradient) combined with substituting a point into y = mx + c. It requires only basic recall of linear equations with no problem-solving or multi-step reasoning, making it easier than average for A-level.
Question 7:
7 | y = 2x + 4 | 3 | M1 for m = 2 stated [M0 if go on to use
m = − ½ ] or M1 for y = 2x + k, k ≠ 7
and M1indep for y − 10 = m(x − 3) or (3,
100)) subst y = mx + c; allow 3 for y = 2x
+ k and k = 4 | 3
Find, in the form $y = ax + b$, the equation of the line through $(3, 10)$ which is parallel to $y = 2x + 7$. [3]
\hfill \mbox{\textit{OCR MEI C1 Q7 [3]}}