Easy -1.2 This is a straightforward coordinate geometry question requiring only two standard steps: identify the gradient from the given line (m = -3/2), then use y - y₁ = m(x - x₁) with the given point. It's routine textbook material with no problem-solving element, making it easier than average.
M1 for \(3x + 2y = c\) or \(y = -1.5x + c\); M1 for subst \((2, 10)\) to find \(c\) or for or \(y - 10 =\) their gradient \(\times (x - 2)\)
$3x + 2y = 26$ or $y = -1.5x + 13$ isw | 3 marks | M1 for $3x + 2y = c$ or $y = -1.5x + c$; M1 for subst $(2, 10)$ to find $c$ or for or $y - 10 =$ their gradient $\times (x - 2)$
A line has equation $3x + 2y = 6$. Find the equation of the line parallel to this which passes through the point $(2, 10)$. [3]
\hfill \mbox{\textit{OCR MEI C1 2006 Q3 [3]}}