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These are the Transum resources related to the statement: "Understand and use the equation of a straight line, including the forms y – y1 = m(x – x1) and ax + by + c = 0; Gradient conditions for two straight lines to be parallel or perpendicular. Be able to use straight line models in a variety of contexts".

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

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

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 - "
*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 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

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