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Math
Algebra
Chapter 4: Graphing Linear Equations and Functions
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Key vocabulary from Chapter 4 of McDougal Littell Algebra I. This chapter covers the graphing of linear equations and functions.
Terms in this set (14)
quadrant
the four regions into which the coordinate plane is divided by the x-axis and the y-axis
standard form of a linear equation
Ax + By = C, where A, B, and C are real numbers and A and B are BOTH not zero
linear function
the equation Ax + By = C is a ___, provided B does not equal zero
x-intercept
the x-coordinate of a point where a graph crosses the x-axis
y-intercept
the y-coordinate of a point where a graph crosses the y-axis
slope
the ___ (m) of a nonvertical line is the ratio of the vertical change (the rise) to the horizontal change (the run) between any two points (x1,y1) and (x2,y2) on the line: m = y2 - y1 / x2 - x1
rate of change
a comparison of change in one quantity with a change in another quantity; can be represented by the slope of a line
slope-intercept form
a linear equation written in the from y = mx + b where m is the slope and b is the y-intercept of the equation's graph
parallel
two lines in the same plane that do not intersect are ___ lines
direct variation
the relationship of two variables x and y if there is a nonzero number a, such that y = ax; if y = ax, then y is said to vary directly with x
constant of variation
the nonzero constant a in a direct variation equation y = ax or in an inverse equation y = a/x
function notation
a way to name a function using the symbol f(x) instead of y; the symbol f(x) is read as "the value of f at x" or as "f of x"
family of functions
a group of functions with similar characteristics
parent linear function
the function f(x) = x, which is the most basic function in the family of linear functions
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