an equation between two variables that gives a straight line when plotted on a graph
Linear equation
a line in a plane containing the x axis and the y axis is generally represented by the letter m and is defined as the change in the y coordinate between two distinct points on the line
Slope
the principal or horizontal axis of a system of coordinates, points along which have a value of zero for all other coordinates
X-axis
the secondary or vertical axis of a system of coordinates, points along which have a value of zero for all other coordinates
Y- axis
on the flat coordinate plane, there are two axes ,the origin is the point where they intersect
Origin
When the equation is written as (y=mx+b) the slope is the number “m” that is multiplied on the x , and “b” is the y- intercept, where the line crosses over the y-axis
Y-intercept
- the x coordinate of a point where a line, curve, or surface intersects the x-axis
X-intercept
the way of writing the the equation of a line slope and y-intercept are immediately apparent
Slope intercept form
to be able to write the equation a line in standard form, the standard form of a line is in the form (ax+by=c) where A is a positive integer ,and B, and C, are integers
Standard form
the quantitative relationship between two amounts showing the number of times one value
Ratio
a name we give to a statement where two ratios are equal
Proportion
- a comparison of two different quantities when they are combined together
Unit rate
cost per liter, kilogram, pound, etc. Divide the cost by quantity
Unit price
a relationship between two variables in which one is a constant multiple of the other . I'm particular, when one variable changes the other changes in proportion to the first
Direct proportion
- a function is any relationship between inputs and outputs In which each input leads to exactly one output , the independent variable
Input
the dependant variable
Output
a collection of ordered pairs
Relation
the relationship between any set of inputs and permissible outputs
Function
the set of inputs which the function is defined
Domain
the difference between the highest and lowest values
Range
mathematical method of performing a calculation or solving a problem
Rule
a visual way to determine if a curve is a graph of a function or not
Vertical line test
any function that graphs to a straight line
Linear function
- a function that is not a linear function
Nonlinear function
a variable whose value depends upon an independant variables
Dependant variable
a variable that represents a quantity that is being manipulated in an experiment
Independent variable
a ratio between a change in one variable relative to a corresponding change in another
Rate of change