6.1 Linear and Non-Linear Relations

Report 1 / 5

Based on the following table, both variables are related linearly.

\(x\)	\(-3\)	\(-2\)	\(-1\)	\(0\)	\(1\)	\(2\)	\(3\)
\(y\)	\(9\)	\(7\)	\(5\)	\(3\)	\(1\)	\(-1\)	\(-3\)

Difficulty Level: Medium

Report 2 / 5

The graph shows a straight of best fit.

Define the gradient and \(y\)-intercept.

Express \(\log_{10}y\) in terms of \(x\).

(A)		\(\begin{aligned} \log_{10}y&=-\dfrac{4}{7}x +4\end{aligned}\)

(B)		\(\begin{aligned} \log_{10}y&=-\dfrac{7}{4}x +4\end{aligned}\)

(C)		\(\begin{aligned} \log_{10}y&=-\dfrac{3}{7}x +4\end{aligned}\)

(D)		\(\begin{aligned} \log_{10}y&=-\dfrac{7}{3}x +4\end{aligned}\)

Difficulty Level: Medium

Report 3 / 5

The graph below shows the line of best fit of two variables as given in the respective graph.

From the graph, obtain the equation of the line of best fit.

Difficulty Level: Hard

Report 4 / 5

The diagram shows the line of best fit obtained by plotting \(y\) against \(\ln x\).

Find in terms of \(p\), the exact value of \(x\) when \(y=4p\).

Difficulty Level: Medium

Report 5 / 5

The diagram shows part of the line of best fit obtained by plotting \((x+\sqrt{y})\) against \(x\).

The line passes through the points \((2,2)\) and \((4,8)\).

Express \(y\) in terms of \(x\).

Difficulty Level: Hard