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These are the Transum resources related to the statement: "Pupils should be taught to reduce a given linear equation in two variables to the standard form y = mx + c; calculate and interpret gradients and intercepts of graphs of such linear equations numerically, graphically and algebraically".

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.
- Graph Paper Flexible graph paper which can be printed or projected onto a white board as an effective visual aid.
- 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.
- Graphs of Vertical and Horizontal Lines Questions about the equations of straight line graphs that are parallel to the axes.
- 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.
- Line Graph Challenge A challenge to produce the straight line patterns using a GDC or graph plotting software.
- 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.
- Graph Plotter An online tool to draw, display and investigate graphs of many different kinds.
- 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.

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 - "
*The straight line \(L\) has the equation \(4y = 3x + 5\).*" ... more - "
*(a) Complete the table of values for \(y=\frac{(x^3-5x)}{10}\)*" ... 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 - "
*On the grid below, draw the graph of \(y = 1 - 2x\) for values of \(x\) from -2 to 2.*" ... more - "
*The vertices of quadrilateral ABCD are A (2, 4), B (-1, 5), C (–3, 4) and D (–2, 2).*" ... more

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

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