Equation of a Line worksheet

10 GCSE practice questions with answers, free to print. Every sheet is generated, so you can make a fresh one whenever you need it.

10 questions 29 marks Sheet 1

2 marks
Does the point \((-4, -2)\) lie on the line \(y = -2x - 8\)?

You must show your working.
3 marks
The line \(L\) is drawn on the grid.

(a)
Find the equation of \(L\).

(b)
The point \((3, s)\) lies on \(L\).

Calculate the value of \(s\).
3 marks
The line \(L\) is drawn on the grid.

Find the equation of \(L\).

Give your answer in the form \(y = mx + c\).
4 marks
The line \(L\) is drawn on the grid.

(a)
Find the equation of \(L\), in the form \(y = mx + c\).

(b)
Another line is parallel to \(L\) and crosses the \(y\)-axis at \((0, 4)\).

Write down the equation of that line.
3 marks
A straight line passes through the points \((-4, -24)\) and \((1, -4)\).

Work out an equation of the line.

Give your answer in the form \(y = mx + c\).
3 marks
A straight line has gradient \(-4\) and passes through the point \((-5, 13)\).

Find the equation of the line.

Give your answer in the form \(y = mx + c\).
3 marks
A straight line has equation \(4y = 12x - 8\)

(a)
Rearrange the equation into the form \(y = mx + c\).

(b)
Write down the gradient of the line.
3 marks
A straight line has equation \(4x + y = -5\)

(a)
Rearrange the equation into the form \(y = mx + c\).

(b)
State the gradient of the line.
2 marks
Determine whether the point \((-3, -10)\) lies on the line \(y = 4x + 7\).

You must show your working.
3 marks
The line \(L\) is drawn on the grid.

(a)
Find the equation of \(L\).

(b)
The point \((-4, s)\) lies on \(L\).

Find the value of \(s\).

Answers