Teacher-curated, self-paced courses. Looking for a guided sequence through a full topic? See Learning Paths.
The slope of a line and the angle it makes with the x-axis, the angle between two lines, parallel and perpendicular lines, and collinear points. Then the equation of a line in point-slope, two-point, slope-intercept and intercept forms.
The general equation Ax + By + C = 0 and its normal form. The distance from a point to a line and between parallel lines, and which side of a line a point is on. Families of lines through an intersection, and the shift of origin.
Beyond the textbook: the locus of a moving point, the bisectors of the angles between two lines, and the reflection of a point or ray in a line. Then the centres of a triangle and pairs of lines, the straight-line problems that JEE and A-Level Further Maths ask most, with a full timed paper.
Two pens and a notebook cost 10 dollars. Which prices are possible? An equation with two unknowns has many answers. In this course we learn to find them, and we draw them all as one straight line.