Easy -1.2 This is a straightforward coordinate geometry question requiring only routine procedures: finding a midpoint using the standard formula, converting a line equation to gradient form to identify the slope, then using y - y₁ = m(x - x₁). All steps are standard AS-level techniques with no problem-solving or insight required, making it easier than average.
2 The point \(M\) is the mid-point of the line joining the points \(( 3,7 )\) and \(( - 1,1 )\). Find the equation of the line through \(M\) which is parallel to the line \(\frac { x } { 3 } + \frac { y } { 2 } = 1\).
2 The point $M$ is the mid-point of the line joining the points $( 3,7 )$ and $( - 1,1 )$. Find the equation of the line through $M$ which is parallel to the line $\frac { x } { 3 } + \frac { y } { 2 } = 1$.\\
\hfill \mbox{\textit{CAIE P1 2019 Q2 [4]}}