\( \DeclareMathOperator{cosec}{cosec} \)

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Here are some specific activities, investigations or visual aids we have picked out. Click anywhere in the grey area to access the resource.

- Gradient of a Line Practise the skill of finding the gradients of straight lines by counting squares and dividing rise by run.
- Straight Line Graphs Video After drawing a straight line graph learn about its equation in the form y = mx + c.
- Straight Line Graph Equation An online exercise about the equation y=mx+c and the features of a straight line graph.
- Don's Graph Snaps Complete the tables and find the equations of the graphs that can be seen in the snaps.
- Graph Patterns Find the equations which will produce the given patterns of graphs.
- Straight Line Graphs 10 straight line graph challenges for use with computer graph plotting software or a graphical display calculator.
- Graph Match Match the equations with the images of the corresponding graphs. A drag-and-drop activity.
- Parallel Graphs Collect together in groups the equations of the graphs that are parallel to each other.
- Perpendicular Pairs Find the pairs of equations that will produce perpendicular graphs.
- Equation of Line through Points Video A short video showing how to find the equation of a line that passes through given points.
- Equation of a Line Through Points Match the equations of the straight line graphs to the clues about gradients and points.
- Coordinate Geometry Table Fill in the empty cells of this table with information about lines, gradients and coordinates.

Here are some exam-style questions on this statement:

- "
*The equation of the line L*" ... more_{1}is \(y = 2 - 5x\). - "
*Which of the following lines is parallel to the x-axis?*" ... more - "
*Show that line \(5y = 7x - 7\) is perpendicular to line \(7y = -5x + 55\).*" ... more - "
*A straight line goes through the points \((a, b)\) and \((c, d)\), where*" ... more - "
*The straight line \(L\) has the equation \(4y = 3x + 5\).*" ... more - "
*A is the point (-5, -9) and B is the point (10, 1).*" ... more - "
*Suppose a rhombus ABCD is drawn on a coordinate plane with the point A situated at (4,7). The diagonal BD lies on the line \(y = 2x - 5 \)*" ... more - "
*Consider the points A(-5, 15). B(4, 6) and C(-8, 12). The line \(L\) passes through the point A and is perpendicular to [BC].*" ... more - "
*Consider a straight line graph L1, which intersects the x-axis at A(8, 0) and the y-axis at B (0, 4).*" ... more - "
*The vertices of quadrilateral ABCD are A (2, 4), B (-1, 5), C (–3, 4) and D (–2, 2).*" ... more

Here is an Advanced Starter on this statement:

Click on a topic below for suggested lesson Starters, resources and activities from Transum.

This video on Gradients and Intercepts of Linear Lines is from Revision Village and is aimed at students taking the IB Maths AI Standard level course.

This video on Parallel and Perpendicular Gradients is from Revision Village and is aimed at students taking the IB Maths Standard level course

How do you teach this topic? Do you have any tips or suggestions for other teachers? It is always useful to receive feedback and helps make these free resources even more useful for Maths teachers anywhere in the world. Click here to enter your comments.