Moderate -0.8 This is a straightforward C1 coordinate geometry question requiring two standard procedures: finding the gradient of AB using the two-point formula, then using point-slope form with point C. The parallel condition simply means using the same gradient. It's slightly easier than average because it's purely procedural with no problem-solving element, though it does require careful algebraic manipulation to reach the required form.
2. The points \(A , B\) and \(C\) have coordinates \(( - 3,0 ) , ( 5 , - 2 )\) and \(( 4,1 )\) respectively.
Find an equation for the straight line which passes through \(C\) and is parallel to \(A B\). Give your answer in the form \(a x + b y = c\), where \(a , b\) and \(c\) are integers.
2. The points $A , B$ and $C$ have coordinates $( - 3,0 ) , ( 5 , - 2 )$ and $( 4,1 )$ respectively.
Find an equation for the straight line which passes through $C$ and is parallel to $A B$. Give your answer in the form $a x + b y = c$, where $a , b$ and $c$ are integers.\\
\hfill \mbox{\textit{OCR C1 Q2 [4]}}