Gradient of a Line worksheet

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

9 questions 21 marks Sheet 1

2 marks
The grid shows the points \(C(-5, 1)\) and \(D(-3, 3)\).

Find the gradient of the line \(CD\).
2 marks
The line through \(A(-3, 2)\) and \(B(-2, -1)\) is drawn on the grid.

Calculate the gradient of the line.
2 marks
A straight line has equation \(y = -x - 7\)

(a)
Write down the gradient of the line.

(b)
Write down the coordinates of the point where the line crosses the \(y\)-axis.
3 marks
A straight line passes through \((-2, 5)\) and \((2, k)\).

The gradient of the line is \(-3\).

Work out the value of \(k\).
3 marks
The line \(L\) has equation \(y = -4x + 4\)

Find the equation of the line that is parallel to \(L\) and passes through the point \((3, 6)\).
3 marks
The points \(P\) and \(Q\) are marked on the grid.

Work out the gradient of the line \(PQ\).

Give your answer as a fraction in its simplest form.
2 marks
The grid shows the points \(P(-2, -2)\) and \(Q(1, 4)\).

Work out the gradient of the line \(PQ\).
2 marks
The line through \(A(-4, 5)\) and \(B(-2, -1)\) is drawn on the grid.

Calculate the gradient of the line.
2 marks
A straight line has equation \(y = -6x - 8\)

(a)
State the gradient of the line.

(b)
State the coordinates of the point where the line crosses the \(y\)-axis.

Answers