Year 11 General Linear Equations And Their Graphs

Determining The Slope Of A Straight Line

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Questions

Question 1

30325

Find the slope of the line that joins the points \(A(-1,2)\) and \(B(3,6)\)

Answer

\(1\)

Worked Solution

\begin{aligned}
&\text{From the point } A(-1,2) \text{ to } (3,6)\\
&\text{rise }=6-2=4\\
&\text{run }=3-(-1)=4\\
&\therefore \text{ slope }=\frac{\text{rise}}{\text {run }}=\frac{4}{4}=1
\end{aligned}

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