Year 11 Maths - General Linear Graphs and Models

Finding The Equation of a Straight-Line Graph Using Two Points on The Graph

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Questions

Question 1

30341

Given the points \(A(1,2)\) and \(B(0,4)\), find the equation of the line \(AB\)

Answer

\(y=-2x+4\)

Worked Solution

\begin{align}
&A(1,2) \quad B(0,4)\\
&\text{From }B \text{ the } y\text{-intercept is } 4\\
&\begin{aligned}
m&=\frac{4-2}{0-1}=-2 \\
\therefore y&=-2 x+4
\end{aligned}
\end{align}

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