Year 11 Maths - Methods Coordinate geometry and linear relations

Simultaneous Linear Equations

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Questions

Question 1

61787

The lines $y=3x+k$ and $y=mx-2$ intersect at $(1,4)$. Find the values of $m$ and $k$.

Answer

$k=1$, $m=6$

Worked Solution

$$\begin{aligned}
(1,4)\ \text{lies on}\ y&=3x+k\\
\therefore \quad 4& =3+k \\
k & =1 \\
(1,4) \text { lies on }\ y & =mx-2 \\
& 4=m-2 \\
\therefore & \,\,m=6
\end{aligned}$$

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