Edexcel C1 — Question 39 6 marks

Exam BoardEdexcel
ModuleC1 (Core Mathematics 1)
Marks6
PaperDownload PDF ↗
TopicStraight Lines & Coordinate Geometry
TypeMidpoint of line segment
DifficultyEasy -1.3 This is a straightforward C1 coordinate geometry question requiring only direct application of standard formulas: midpoint formula and gradient-intercept form. Both parts are routine calculations with no problem-solving or conceptual challenge—students simply substitute values into memorized formulas.
Spec1.03a Straight lines: equation forms y=mx+c, ax+by+c=0

The points \(A\) and \(B\) have coordinates \((1, 2)\) and \((5, 8)\) respectively.
  1. Find the coordinates of the mid-point of \(AB\). [2]
  2. Find, in the form \(y = mx + c\), an equation for the straight line through \(A\) and \(B\). [4]

The points $A$ and $B$ have coordinates $(1, 2)$ and $(5, 8)$ respectively.

\begin{enumerate}[label=(\alph*)]
\item Find the coordinates of the mid-point of $AB$. [2]
\item Find, in the form $y = mx + c$, an equation for the straight line through $A$ and $B$. [4]
\end{enumerate}

\hfill \mbox{\textit{Edexcel C1  Q39 [6]}}