Question

Match the mathematical expression with its translation:

A) Axes
B) Origin
C) Quadrant
D) Independent variable
E) Coordinate plane
F) Dependent variable

The horizontal and vertical lines that define a graph's boundaries.
The point (0,0) where the axes intersect on a graph.
One of the four sections into which a coordinate plane is divided.
The variable that is manipulated or changed in an experiment.
The plane formed by two perpendicular number lines.
The variable that is observed or measured in an experiment.

Answer 1

Mathematical expressions such as Axes, Origin, Quadrant, Independent variable, Coordinate plane, and Dependent variable are matched with their corresponding descriptions, explaining their roles on a graph represented by a straight-line equation y = mx + b.

Step-by-step explanation:

To match the mathematical expression with its translation:

• Axes: The horizontal and vertical lines that define a graph's boundaries.
• Origin: The point (0,0) where the axes intersect on a graph.
• Quadrant: One of the four sections into which a coordinate plane is divided.
• Independent variable: The variable that is manipulated or changed in an experiment.
• Coordinate plane: The plane formed by two perpendicular number lines.
• Dependent variable: The variable that is observed or measured in an experiment.

In a straight-line graph represented by the equation y = mx + b, x usually denotes the independent variable on the horizontal axis, and y denotes the dependent variable on the vertical axis. The independent variable x-axis is what is being controlled, while changes in the y-axis depend on the changes in the x-axis.