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Equation
A mathematical sentence stating that two expressions are equal.
Open sentence
A mathematical sentence containing one or more variables.
Solution
Each replacement that results in a true sentence of the open sentence.
Set-builder notation
A way to express the solution set of an inequality.
Infinity
Symbols used to indicate that a set is unbounded in the positive or negative direction.
Interval notation
A way to express the solution set of an inequality.
Rate of change
A ratio that compares how much one quantity changes, on average, relative to the change in another quantity.
Slope
The slope of a line is the ratio of the change in the y-coordinates to the corresponding change in the x-coordinates.
Slope-intercept form
Equations written in the format of y=mx + b.
Point-slope form
The equation of a line is y - y1 = m(x - x1), where (x1, y1) are the coordinates of a point on the line and m is the slope.
Parallel
Two nonvertical lines are parallel if they have the same slope; all vertical lines are parallel.
Perpendicular
Two nonvertical lines are perpendicular if the product of their slopes is -1; vertical lines and horizontal lines are perpendicular.