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Foundation November 2021 Paper 1 Q25

EduqasFoundationCurrent spec3 marksDirect & Inverse ProportionLinear Graphs & Gradients

25.

(a)

The diagram shows the graphs of \(y = 3x - 1\) and \(y = 4 - 3x\).

Graphs of y = 3x - 1 and y = 4 - 3x on a grid with x from -3 to 5 and y from -2 to 8, 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]

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

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