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SingaporeMaths

Coordinate Geometry and Vectors

3 dot points across 3 inquiry questions. Click any dot point for a focused answer with worked past exam questions where available.

Given two points or a point and a gradient, how do we find the equation of the straight line through them?

Find the gradient of a line through two points and determine the equation of a straight line in the form y = mx + c
A focused answer to the N(A)-Level Mathematics outcome on the equation of a line. Finding gradient from two points, using a point to find the intercept, and writing the equation as y = mx + c.
8 min answer →

Given two points, how do we find the length of the segment joining them and the coordinates of its midpoint?

Calculate the length of a line segment using the distance formula and find the midpoint of a line segment
A focused answer to the N(A)-Level Mathematics outcome on length and midpoint. The distance formula from Pythagoras, the midpoint formula, and applying both to points on a grid.
8 min answer →

What is a vector, and how do we add vectors and multiply them by a number?

Represent a vector as a column vector, add and subtract vectors, and multiply a vector by a scalar
A focused answer to the N(A)-Level Mathematics outcome on vectors. Column vector notation, adding and subtracting vectors, scalar multiples, and finding the magnitude of a vector.
8 min answer →