Chapter #5: Graphing Linear Equations and Functions

point

A fixed location on a coordinate plane; every point has a unique x-value and y-value.

linear function

A function whose graph is a line is a _?_ _?_. You can represent a _?_ _?_ with a linear equation.

slope = 0

A horizontal line has a slope that is equal to _?_.

negative slope

A line with _?_ _?_ slants downward from left to right.

positive slope

A line with _?_ _?_ slants upward from left to right.

undefined slope

A line with an _?_ _?_ is vertical.

slope-intercept form

A linear equation of a nonvertical line written as y = mx + b where m is the slope of the line and "b" is the y-intercept of the line.

linear equation

An equation whose graph forms a straight line.

perpendicular lines

Lines that intersect to form right angles. Two lines are perpendicular if the product of their slopes is -1.

standard form of a linear equation

The form of a linear equation Ax + By = C, where A, B and C are real numbers and A and B are not both zero.

Rate of Change

The relationship between two quantities that are changing. The _?_ of _?_ is also called the slope.

slope

The relationship of the vertical change to the horizontal change.

intercept

The values of the points at which a line intersects (or cuts) the x-axis or y-axis.

x-intercept

The x-coordinate of the point where a line crosses the x-axis.

y-intercept

The y-coordinate of the point where a line crosses the y-axis.

parallel lines

Two lines in the same coordinate plan e that never intersect. Parallel lines have the same slope.

Ax + By = C

What is the standard form of a linear equation in algebra?