Moderate -0.8 This is a straightforward coordinate geometry question requiring standard techniques: finding the gradient of AB, using the perpendicular gradient property (negative reciprocal), then applying point-slope form. All steps are routine with no problem-solving insight needed, making it easier than average but not trivial since it requires multiple steps and careful algebraic manipulation.
1 The points \(A\) and \(B\) have coordinates \(( 1,5 )\) and \(( 4,17 )\) respectively. Find the equation of the straight line which passes through the point \(( 2,8 )\) and is perpendicular to \(A B\). Give your answer in the form \(a x + b y = c\), where \(a\), \(b\) and \(c\) are constants.
1 The points $A$ and $B$ have coordinates $( 1,5 )$ and $( 4,17 )$ respectively. Find the equation of the straight line which passes through the point $( 2,8 )$ and is perpendicular to $A B$. Give your answer in the form $a x + b y = c$, where $a$, $b$ and $c$ are constants.
\hfill \mbox{\textit{OCR H240/01 2018 Q1 [4]}}