Algebra 2 Chapter 2

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Algebra

9th

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31 Terms

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Relation
a set of ordered pairs
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Domain
set of inputs, also called x-coordinates
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Range
Set of ouputs, also called y-coordinates
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Function
All x-values must be different; y-values don't matter
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In a function every vertical line must intersect the graph in
At most one point
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Linear Equations : are Degree 1
a) have no operation other than addition, subtraction and multiplication of a variable by a constant
b) variables cannot be multiplied together
c) variables cannot appear in the denominator of a fraction
d) exponents on the variable must be 1
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used to find slope when given 2 points (x1,y1) (x2,y2)
m= y2-y1/x2-x1
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horizontal line
0 Slope
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slope
The steepness of a line on a graph
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parallel lines
have the same slope
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perpendicular lines
have negative reciprocal slopes
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y-intercept
the point where a graph intersects the y-axis
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x-intercept
the point where a graph crosses the x-axis
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Standard form of a linear equation
Ax+By=C
A,B,C are integers
1) x & y must be on the same side
2) x must be positive
3) no fractions or decimals
ex) x-y=-3
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m =
-A/B
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y-intercept
C/B
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x-intercept
C/A
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Scatterplot
graph that relates 2 sets of data by plotting the data as ordered pairs; a cluster of points
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line of best fit (trend line)
"average" line that goes through the middle of the scatter plot
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rises to the right
positive correlation
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falls to the right
negative correlation
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prediction equation
the equation of the line of best fit that makes predictions about data not in your scatter plot; this is your equation of the line in slope-intercept form (y=mx+b)
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If lines do not intersect, then they are
Parallel
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If lines intersect and form right angles, then they are
perpendicular
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Standard Form
Ax+By=C
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slope-intercept form
y=mx+b
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If < or > , connect the points with a
Dashed Line
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If ≤ or ≥ , connect points with a
Solid Line
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If > or ≥ , shade _____ the line
Above
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If < or ≤ , shade _____ the line
Below
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You only change the inequality sign if you divide or multiply both sides by a negative number. Thus, if you divide or multiply both sides by a positive number,the inequality sign will not change.
TRUE