AS/A-level Mathematics - Coordinate Geometry

• The equation of a straight line can be written as y = mx + c, where m is the gradient and c is the intercept with the vertical axis.
• The gradient of a line passing through the points (x1,y1) and (x2,y2) is (y2 -y1) / (x2 -x1).
• The equation of the straight line with gradient m that passes through the point (x1, y1) is y-y1 =m(x-x1).
• Lines are parallel if they have the same gradient.
• Two lines are perpendicular if the product of their gradients is -1.
• If the gradient of a line is m, then the gradient of a perpendicular line is - 1/m.
• The midpoint of the line joining the points (x1, y1) and (x2, y2) is ((x1+x2)/2,(y1+y2)/2).

• The distance between the points with coordinates (x1,y1) and (x2,y2) is √(x2 -x1)^2 + (y2 -y1)^2.
• The equation of a circle centre (a, b) with radius r is (x-a)^2 +(y-b)^2 =r^2 .

When it comes to AS/A-level Maths, do you know how to find the point of intersection of lines?

That's the end of the topic!

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Drafted by Bonnie (Mathematics)