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1.2.1 Co-ordinate geometry in the x, y plane

Card 1 of 23

For points (x1,y1)(x_1,y_1)(x1​,y1​) and (x2,y2)(x_2,y_2)(x2​,y2​), the gradient is [...]\text{[...]}[...].

A

A horizontal line has gradient 0\boxed{0}0​, while a vertical line has an undefined gradient.

B

Substitute its coordinates - the equation must be true.

C

For ax+by+c=0ax+by+c=0ax+by+c=0 with b≠0b\ne 0b=0, the gradient is −ab\boxed{-\frac{a}{b}}−ba​​ and the yyy-intercept is −cb-\frac{c}{b}−bc​.

D

For points (x1,y1)(x_1,y_1)(x1​,y1​) and (x2,y2)(x_2,y_2)(x2​,y2​), the gradient is m=y2−y1x2−x1\boxed{m=\frac{y_2-y_1}{x_2-x_1}}m=x2​−x1​y2​−y1​​​.

Card 1 of 23

1.2.1 Co-ordinate geometry in the x, y plane Flashcards

  1. A Level
  2. /Maths
  3. /1.2.1 Co-ordinate geometry in the x, y plane

23 flashcards on CCEA A Level Maths 1.2.1 Co-ordinate geometry in the x, y plane: the key formulae, methods and definitions you need to recall for AS 1, AS 2, A2 1 and A2 2.

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