11.6.1: Key Terms

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horizontal line: A horizontal line is the graph of an equation that can be written in the form $y = b$ . The line passes through the y-axis at $(0, b) .$

intercepts of a line: Each of the points at which a line crosses the x-axis and the y-axis is called an intercept of the line.

linear equation: An equation of the form $A x + B y = C,$ where $A and B$ are not both zero, is called a linear equation in two variables.

ordered pair: An ordered pair $(x, y)$ gives the coordinates of a point in a rectangular coordinate system. The first number is the $x$ -coordinate. The second number is the $y$ -coordinate.
$\underset{x -coordinate, y -coordinate}{(x, y)}$

origin: The point $(0, 0)$ is called the origin. It is the point where the $x$ -axis and $y$ -axis intersect.

quadrants: The $x$ -axis and $y$ -axis divide a rectangular coordinate system into four areas, called quadrants.

slope of a line: The slope of a line is $m = \frac{rise}{run}$ . The rise measures the vertical change and the run measures the horizontal change.

solution to a linear equation in two variables: An ordered pair $(x, y)$ is a solution to the linear equation $A x + B y = C$ , if the equation is a true statement when the x- and y-values of the ordered pair are substituted into the equation.

vertical line: A vertical line is the graph of an equation that can be written in the form $x = a$ . The line passes through the x-axis at $(a, 0) .$

x-axis: The x-axis is the horizontal axis in a rectangular coordinate system.

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