Linear Equations w/Slopes

Coordinate Plane

formed by the intersection of 2 number lines, the horizontal and vertical axis

X-Axis

the horizontal axis on the coordinate plane

Y-Axis

the vertical axis on a coordinate plane

Quadrants

The 4 region which the x and y axis seperate the coordinate plane

orgin

point where x and y axis intersect

ordered pair

set of numbers or coordinates

X-coordinate

The x-value of an ordered pair, represents the horizontal placement of the point.

Y-coordinate

The y-value of an ordered pair, represents the vertical placement of the point.

Relation

A set of ordered pairs

Domain

x-values within the ordered pair of a relation

Range

y-values within the ordered pair of a relation

Function

A relation in which each element of the domain is paired with exactly 1 element of the range

independent variable

x-value within a function

dependent variable

y-value within a function

Vertical Line Test

If any vertical line passes through no more than one point of the graph of a relation, then the relation is a function.

Rate of Change

A ratio that shows how one variable changes with respect to another.

Slope

A ratio that compares the verticle to horizontal change between points

Formula for slope

m\= rise over run

Postitive slop

A line increasing left to right

Negative Slope

falls from left to right

Zero Slope

horizontal line

Undefined Slope

Verticle Line

Verticle

up and down