Straight Lines

Straight Lines

This interactive file deals with the equation of a straight line, mainly in the form ax+by+c=0.
In the first sheet gradients can be integers or simple fractions and both the gradient and intercept can be altered. Graphs are shown and students need to convert the equation of the line from the form y=mx+c into the form ax+by+c=0. The second sheet generates sets of questions where the student can be given the gradient and intercept in order to find the equation of the line or vice versa. Correct answers can be revealed and the solution checked on the plotted graph.

The next two sheets deal in a similar way with the line defined by the gradient and the coordinates of a point on the line. This is followed by two sheets where the line is defined by two points on the line.

The final two sheets are similar except the two points are where the line cuts the axes and students can use the form x/a+y/b=1 before converting to the form ax+by+c=0.

Parallel and Perpendicular Lines

This file provides explanation and practice questions about the gradient and equations of parallel and perpendicular lines. Lines are all shown on coordinate grids.

The first sheet shows a line segment with the coordinates of the endpoints given. Students need to find the gradient of the line and the gradient of a perpendicular line. They can also find the equation of the given line segment. Answers can be revealed and new problems posed.

The second sheet is similar and students need to find the equation of the perpendicular line. The tab "Perpendicular Questions" shows a set of equations in the form ax+by+c=0 with the coordinates of a point beside each. Answers are not given but the appropriate perpendicular line can be shown on the grid. The next two sheets deal with parallel lines in a similar way.

The final three sheets deal with the equation of a perpendicular bisector, the circum-centre of a triangle and equations of tangents, chords and diameters of circles. There is also a printable worksheet which could be suitable for further practice.

Note:

This program was designed by be viewed on a screen with a resolution of 1024 x 768. Users may have to adjust the resolution of their screen for the pages to display as was originally intended. The program uses macros which need to be enabled on users’ machine.