Unit 8 - Slope Vocabulary 7B/8

Coordinate Plane

A graph including an x and y axis of negative and positive numbers

rate of change

A ratio between the change in one variable and the change in another. Same as "slope"

Domain

All possible input values (x values)

Range

All possible output values (y values)

input

An element of the domain of a function.

Constant Rate Of Change

Constant Rate Of Change is when the value of x increases, the value of y remains constant. That is, there is no change in y value and the graph is a horizontal line. Example: Use the table to find the rate of change.

Function

Each input can only have one output! Formally: A rule that assigns to each number x in the function's domain a unique number f(x) .

Linear Functions

Linear Functions is an calculus and related areas of mathematics, a linear function from the real numbers to the real numbers is a function whose graph is a line in the plane.

Slope

Slope is an mathematics and the slope or gradient of a line is a number that describes both the direction and the steepness of the line.

Y-Intercept

The Y-intercept is the equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.

Slope Intercept Form

The slope intercept form is the y-intercept of the line, or the y-coordinate of the point at which the line crosses the y-axis. To write an equation in slope-intercept form, given a graph of that equation, pick two points on the line and use them to find the slope. This is the value of m in the equation.

X-Intercept

The x-intercepts are where the graph crosses the x-axis, and the y-intercepts are where the graph crosses the y-axis. ... In the same way, the x-axis is also the line "y = 0". Then, algebraically, an x-intercept is a point on the graph where y is zero, and.

Unit rate

a rate simplified to have a denominator of 1