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EHS Algebra Chapter 4--Graphing Linear Equations and Functions, pp. 200--262

4.1 Coordinates and Scatter Plots, p. 203 4.2 Graphing Linear Equations, p. 210 4.3 Quick Graphs Using Intercepts, p. 218 4.4 The Slope of a Line, p. 226 4.5 Direct Variation, p. 234 4.6 Quick Graphs Using Slope-Intercept Form, p. 241 4.7 Solving Linear Equations Using Graphs, p. 250 4.8 Functions and Relations, p. 256
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variable expression
a collection of numbers, variables, and operations, p3
solution of an equation
when the variable in a single-variable equation is replaced by a number and the resulting statement is true, p24; in two variables x and y is an ordered pair (x,y) that makes the equation true, p210
function
a rule that establishes a relationship between two quantities, p46
linear equation
the variable is raised to the first power and does not occur in a denominator, inside a square root symbol, or inside absolute value symbols, p133
coordinate plane
formed by two real number lines that intersect at a right angle, p203
ordered pair
each point in the plane corresponds to an _____ _____ of real numbers, p203
x-coordinate
the first number in an ordered pair, p203
y-coordinate
the second number in an ordered pair, p.203
graph
the point in the plane that corresponds to an ordered pair (x,y), p203
scatter plot
one way to analyze the relationships between two quantities is to graph the pairs of data on a coordinate axis, p204
graph of a linear equation
in x and y is the set of all points (x,y) that are solutions of the equation, p210
line
graph of a linear equation, p210
x-intercept
x-coordinate of a point where a graph crosses the x-axis, 218
y-intercept
y-coordinate of a point where a graph crosses the y-axis, 218
slope
m of a nonvertical line is the number of units the line rises or falls for each unit of horizontal change from left to right, 226
rate of change
compares two different quantities that are changing, p229
velocity
the rate at which distance is changing with time, p229
constant of variation
two variables x and y vary directly if there is a nonzero number k such is true that the number k is the _______ _______, p234
direct variation
two quantities that vary directly are said to have ______ _______, p234
slope of the intercept form
the linear equation y=mx+b is written in _____ _____, p241
m
the slope of the line, p241
b
the y-intercept, p241
parallel
two different lines in the same plane that do no intersect, p242
function notation
in general, the symbol f(x) replaces y and is read as "the value of f at x" or simply as "f of x" which does not mean f times x where f is called _______ ________, p257
graph of a function
since function notation allows you to write f(x) in place of y, the ______ ___ __ _______ f is the set of all points (x, f(x)), where x is in the domain of the function, p257