Alg 2 1.1-1.4 Vocab for quiz

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.