Maths test revision

Linear Equation

An equation that can be expressed in the form $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.

Independent Variable

The variable that is manipulated or changed in an experiment, represented on the x-axis.

Dependent Variable

The variable that is measured or observed in response to changes in the independent variable, represented on the y-axis.

Function Type

The classification of a relationship based on patterns found in data, such as linear or quadratic.

Equation Verification

The process of checking if a formulated equation holds true for all data points in a table.

Gradient

The measure of the slope of a line on a graph, calculated as the ratio of the change in y to the change in x.

Positive Gradient

A slope where the line rises as it moves from left to right, indicating a positive relationship between variables.

Negative Gradient

A slope where the line falls as it moves from left to right, indicating a negative relationship between variables.

Zero Gradient

A horizontal line, indicating no change in y as x changes; the slope is zero.

Undefined Gradient

A vertical line, where the slope cannot be defined because of a division by zero.

Intersection Point

The point where two lines or curves intersect on a graph, representing the solution to a system of equations.

Shading Region in Graphs

The area shaded in a graph to represent the solution set of an inequality.

Solid Line in Graphing Inequalities

Used to indicate that points on the line are included in the solution set when the inequality is inclusive (≤ or ≥).

Dotted Line in Graphing Inequalities

Used to indicate that points on the line are not included in the solution set when the inequality is strict (< or >).

Equation of a Straight Line

The representation of a straight line using the equation $y = mx + c$, where $m$ is the gradient and $c$ is the y-intercept.

Substituting Values into the Equation

The process of replacing variables in an equation with known values to find specific outcomes or points.