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Algebra II Chapter III Vocab
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Terms in this set (28)
open sentence with two variables
an equation with two variables
ordered pair
a pair of numbers having a definite order with the first representing a number on the x axis and the other on the y axis
solution set
the set of all ordered pairs satisfying the sentence
xy-coordinate plane
the plane on which both the x and y coordinates are plotted
plane rectangular coordinate system
a system for locating the point associated with any ordered pair by reference to two number lines intersecting at right angles (using an x and y axes)
axes
two number lines, one horizontal and one vertical, intersecting at point (0,0)
origin
(0,0)
quadrant
one of the four regions into which a plane rectangular coordinate system is divided by its axes
graphing an ordered pair
the point in an xy-coordinate plane associated with an ordered pair of real numbers
plotting a point
placing a point on the x and y axes by reference of an ordered pair
coordinates
the unique ordered pair of real numbers associated with each point in the plane
x-coordinate
the first coordinate in an ordered pair or real numbers
abscissa
the first coordinate in an ordered pair or real numbers associated with a point in the coordinate plane
also called the x-coordinate
y-coordinate
the second coordinate in an ordered pair or real numbers
ordinate
the second coordinate in an ordered pair of
also called the y-coordinate
Cartesian coordinate system
a rectangular coordinate system
graph of an open sentence
the set of all points in the coordinate plane whose coordinates satisfy the sentence
linear equation
an equation where all the variables are raised to the first degree
slope
rise over run
slope=-(a/b) (when used in standard form)
slope=(y2-y1)/(x2-x1)
standard form
ax+by=c
where 'a' is positive and and 'a', 'b', and 'c' are integers
point-slope form
y-y1=m(x-x1)
y-intercept
the point where a line passes through the y-axis
x-intercept
the point where a line passes through the x-axis
slope-intercept form
y=mx+ where 'm' is slope
consistent system
a system that has at least one solution
inconsistent solution
a system that has no solutions (parallel lines)
dependent system
a system with only one line
independent system
a system with two different lines (intersecting or parallel lines)
also called coinciding lines
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