Algebra Chapter 4 Graphing Linear Equations Flashcards

Flashcards for Algebra 1 chapter 4 Graphing Linear Equations

118877534	quadrant	One of 4 regions of the coordinate plane formed by the intersection of the x- and y-axes.
118877535	abscissa	The x-coordinate of an ordered pair.
118877536	ordinate	The y-coordinate of an ordered pair.
118877537	ordered pair	Describes a location on the coordinate plane, with the x-coordinate listed first and the y-coordinate listed second.
118877538	origin	Ordered pair (0,0); the place where the axes in a coordinate plane meet.
118877539	Ax + By = C	Standard form of a linear equation, where A, B, and C represent constant numbers and x and y represent variables.
118877540	Table of Values Graphing Method	One way to graph a function; first find some x-values in the domain, and then calculate the y-values using the function rule; points can then be plotted and connected.
118877541	x-intercept	The place where the graph of a relation touches or crosses the x-axis; the y-value is always 0.
118877542	y-intercept	The place where the graph of a relation touches or crosses the y-axis; the x-value is always 0.
118877543	Intercepts Graphing Method	One way to graph a function; find the x-intercept (set y = 0 and solve) and the y-intercept (set x = 0 and solve); plot the intercepts and connect.
118877544	y = mx + b	The slope-intercept form of a linear equation, where m represents slope and b represents y-intercept.
118877545	Slope-Intercept Graphing Method	Put a linear equation in slope-intercept form (y = mx + b); plot the y-intercept; use the slope ratio to find other points relative to the y-intercept (make slope a fraction - numerator is change in y (up or down), denominator is change in x (left or right)).,
118877546	slope	The ratio of change in y-value (vertical) to change in x-value (horizontal) between two points on a line.
118877547	slope formula	Given two points (x1, y1) and (x2, y2), slope is found using the formula m = (y2 - y1)/(x2 - x1), or delta y over delta x.
118877548	undefined slope	The slope of a vertical line (cannot be found because it would force a division by 0, undefined in mathematics)
118877549	positive slope	The slope of a line that increases as x-values increase (points go up left to right).
118877550	negative slope	The slope of a line that decreases as x-values increase (points go down left to right).
118877551	zero slope	The slope of a horizontal line (the change in y-values is 0).
118877552	constant of variation	The constant applied to input values to create the output values in a direct variation; given y = ax is a direct variation, then a is the constant of variation.
118877553	y-intercept = 0	One way to determine if a linear equation is a direct variation.
118877554	f(x) notation	Function notation where f is the name of the function and x is the input; for example if f(x) = x + 2, then f(3) = 3 + 2 = 5.
118877936	domain	The set of inputs for a relation.
118877937	range	The set of outputs for a relation.
118949519	x = a, a is a constant	Graph of a vertical line; for example, x = 5 is a vertical line that goes through point (5, 0); it has an undefined slope
118949520	y = a, a is a constant	Graph of a horizontal line; for example, y = 5 is a horizontal line that goes through point (0, 5); it has a slope of 0