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Higher November 2021 Paper 1 Q8

8.

(a) The diagram shows the graphs of \(y = 3x - 1\) and \(y = 4 - 3x\).
Graph paper with x from −2 to 4 and y from −1 to 7, showing the straight lines y = 3x − 1 and y = 4 − 3x crossing at about (0·8, 1·5)
(i) Use the graphs to write down an approximate solution of the equation \(3x - 1 = 4 - 3x\). [1]

\(x =\) …………………………
(ii) Circle the equation that represents a line parallel to \(y = 3x - 1\). [1]

\(y = 3 - x\)    \(3y = x - 1\)    \(y = 3x + 2\)    \(\dfrac{3}{y} = x\)    \(\dfrac{x}{3} = y\)

(b) Circle the equation where \(y\) is directly proportional to \(x\). [1]

\(y = \dfrac{5}{x}\)    \(x + y = 1\)    \(7 = xy\)    \(y = 3x^2\)    \(y = 4x\)