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chap. 4 vocab terms-graphing linear equatons and functions

quadrant Bfour 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 not both zero
linear function the equation Ax+By=C represents a linear function provided B does not equal 0
x-intercept the x-coordinate of a point where a graph crosses the x-axis
y-intercept the y-intercept of a point where the graph crosses the y-axis
slope the slope of a nonvertical line is the ratio of the vertical change(rise) to the horizontal change(run) between any two points on the line.
rate of change a comparison of a change in one quantity with a changge in another quantity.
slope-intercept form a linear equation written in the form 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.
direct variation the relationship of two variablezsx 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 variation equation y=a/x.
function notation a way to name a function is 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.
Created by: amalum