2026-09-10T00:15:11.155684 image/svg+xml Matplotlib v3.10.9, https://matplotlib.org/ © EAGLE BEACON GLOBAL Work out the equation of a straight line. The dia...

Assessment: Mathematics 9260 | Paper 1 Mock 01 | Written Paper 1 (Core 1C / Extension 1E) Subject: Mathematics - 9260

Question 1 Report

Work out the equation of a straight line. The diagram shows the two points and the line through them.

The line passes through the points \((2, -1)\) and \((6, 11)\). Give your answer in the form \(y = mx + c\).

Answer

Answer Details

First find the gradient from the two given points:

\[m=\frac{11-(-1)}{6-2}=\frac{12}{4}=3\] [M1][A1]

Use \(y=mx+c\) and substitute \((2,-1)\):

\[-1=3(2)+c\]

\[c=-7\]

Therefore the equation is:

\[y=3x-7\] [A1]

A check using \(x=6\) gives \(3(6)-7=11\), which matches the other point.

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