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1.6.1 Equation of a straight line

Question 1

The line $l_1\,$ has equation $y = 2 x - 1$

The line $l_2\,$ passes through the point $P (1, 6)$ and is perpendicular to $l_1$ .

Find an equation for $l_2$ , giving your answer in the form $a x + b y + c = 0$ , where $a$ , $b\,$ and $c\,$ are integers.

[3]

The lines $l_1\,$ and $l_2\,$ meet at the point $Q$ . Find the coordinates of $Q$ .

[2]

Find the exact length $P Q$ .

[2]

Markscheme

1.6.1 Equation of a straight line Questions

A Level
Maths
1.6.1 Equation of a straight line

8 exam-style questions on AQA A Level Maths 1.6.1 Equation of a straight line. Each one has a worked solution and a mark scheme showing where the marks go.

1.6.1 Equation of a straight line

Question bank

1.6.1 Equation of a straight line

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Question 1

The line $l_1\,$ has equation $y = 2 x - 1$

The line $l_2\,$ passes through the point $P (1, 6)$ and is perpendicular to $l_1$ .

Find an equation for $l_2$ , giving your answer in the form $a x + b y + c = 0$ , where $a$ , $b\,$ and $c\,$ are integers.

[3]

The lines $l_1\,$ and $l_2\,$ meet at the point $Q$ . Find the coordinates of $Q$ .

[2]

Find the exact length $P Q$ .

[2]

Markscheme

1.6.1 Equation of a straight line Questions

A Level
Maths
1.6.1 Equation of a straight line

8 exam-style questions on AQA A Level Maths 1.6.1 Equation of a straight line. Each one has a worked solution and a mark scheme showing where the marks go.