Easy -1.2 This is a straightforward coordinate geometry question requiring only routine techniques: finding the gradient of the given line, using the perpendicular gradient relationship (negative reciprocal), then applying point-slope form. It's a standard textbook exercise with no problem-solving insight needed, making it easier than average for A-level.
Determine the equation of the line that passes through the point \((1, 3)\) and is perpendicular to the line with equation \(3x + 6y - 5 = 0\). Give your answer in the form \(ax + by + c = 0\) where \(a\), \(b\) and \(c\) are integers to be determined. [3]
Determine the equation of the line that passes through the point $(1, 3)$ and is perpendicular to the line with equation $3x + 6y - 5 = 0$. Give your answer in the form $ax + by + c = 0$ where $a$, $b$ and $c$ are integers to be determined. [3]
\hfill \mbox{\textit{SPS SPS FM 2025 Q1 [3]}}