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