Syllabus • Coordinate geometry in the (x, y) plane
Equation of a straight line, including the forms
\[y-y_1=m(x-x_1)\] and \[ax+by+c=0.\]
To include:
(i) the equation of a line through two given points;
(ii) the equation of a line parallel (or perpendicular) to a given line through a given point. For example, the line perpendicular to the line \[3x + 4y = 18\] through the point (2, 3) has equation \(y-3=(x-2)\). Conditions for two straight lines to be parallel or perpendicular to each other.
(i) the equation of a line through two given points;
(ii) the equation of a line parallel (or perpendicular) to a given line through a given point. For example, the line perpendicular to the line \[3x + 4y = 18\] through the point (2, 3) has equation \(y-3=(x-2)\). Conditions for two straight lines to be parallel or perpendicular to each other.
Topic | Coordinate geometry in the (x, y) plane |
Module | C1 |
Description |
Equation of a straight line, including the forms
\[y-y_1=m(x-x_1)\] and \[ax+by+c=0.\]
To include: (i) the equation of a line through two given points; (ii) the equation of a line parallel (or perpendicular) to a given line through a given point. For example, the line perpendicular to the line \[3x + 4y = 18\] through the point (2, 3) has equation \(y-3=(x-2)\). Conditions for two straight lines to be parallel or perpendicular to each other. |