Linear Graphs y = mx + c | AQA GCSE Maths Topic Questions 2022

1

3 marks

On the grid, draw the graph of $y = 3 x — 2$ for values of $x$ from $— 1 to 3$

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1

3 marks

The line $N$ is drawn below.

q1-hard-2-16-linear-graphs-edexcel-gcse-maths

Find an equation of the line perpendicular to line $N$ that passes through the point (0, 1).

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1

4 marks

On the grid, draw the graph of $y = 2 x - 3$ for values of $x$ from $- 2 to 3$

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1a

1 mark

q1-vhard-2-16-linear-graphs-edexcel-gcse-maths

Figure 1

The line $l_{1}$ has equation $2 x - 3 y + 12 = 0$

Find the gradient of $l_{1}$ .

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1b

3 marks

The line $l_{1}$ crosses the $x$ -axis at the point $A$ and the $y$ -axis at the point $B$ , as shown in Figure 1.

The line $l_{2}$ is perpendicular to $l_{1}$ and passes through $B$ .

Find an equation of $l_{2}$ .

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1c

4 marks

The line $l_{2}$ crosses the $x$ -axis at the point $C$ .

Find the area of triangle $A B C$ .

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$x$	$- 2$	$- 1$	$0$	$1$	$2$
$y$	$1$		$5$