Coordinates

The coordinate system consists of two

The coordinate system consists of two perpendicular lines: the horizontal x-axis and vertical y-axis, intersecting at the origin (0,0). Any point in t

To plot a point (x

To plot a point (x, y): move x units along x-axis, then y units parallel to y-axis. To read coordinates: draw perpendiculars from the point to both ax

When two opposite vertices of

When two opposite vertices of a rectangle are given, say (x₁, y₁) and (x₂, y₂), the other two vertices are (x₁, y₂) and (x₂, y₁). This works because s

The distance between two points (x₁

The distance between two points (x₁, y₁) and (x₂, y₂) is √[(x₁-x₂)² + (y₁-y₂)²]. This comes from Pythagorean theorem applied to the right triangle for

For points with same x

For points with same x-coordinate (x, y₁) and (x, y₂), distance is |y₁ - y₂|. For same y-coordinate (x₁, y) and (x₂, y), distance is |x₁ - x₂|. Distan