Cartesian Geometry and Gradients

Vocabulary and key concepts from the 14 May 2026 classwork regarding Cartesian planes, intercepts, and gradient calculations.

Cartesian Plane

The coordinate system where points defined by x and y values are plotted.

y-intercept

The point where the graph crosses the y-axis; according to the notes, the coordinates are $(0, -3)$.

x-intercept

The point where the graph crosses the x-axis; according to the notes, the coordinates are $(3, 0)$.

Gradient Formula (M)

The formula used to determine the slope of a line: $M = \frac{y_2 - y_1}{x_2 - x_1}$.

Gradient Calculation

The specific calculation provided in the notes using the intercepts: $\frac{0 - (-3)}{3 - 0}$.

$(4, 1)$ and $(2, -1)$

Examples of coordinates plotted on the Cartesian Plane from the provided table.