Linear functions
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| Constant increase situation | y=2x+5; 5 is the y-intercept or INITAL CONDITION or staring point in the situation; graph slants up from left to right; positive slope
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| LINEAR FUNCTION (SLOPE INTERCEPT FORM) | y=mx=b or f(x)=mx+b
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| Constand decrease situation | y=-2/3x=50; graph slants down from left to right; negative slope
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| PIECEWISE LINEAR | union of segments or pieces of two or more linear functions
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| LINEAR COMBINATION | EX: 20P + 32L
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| STANDARD FORM OF AN EQUATION FOR A LINE | Ax+By=C; graph where A and B are not both 0 is a line
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| Horizontal line | slope=0; y= #
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| Vertical line | slope undefined; x=#
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| Oblique line | Ax+By=C; A and B both not 0; slope= -A/B
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| POINT-SLOPE THEOREM | If al ine contains (x1,y1) and has slope m, then it has equation y-y1=m(x-x1)
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| Find an eqaution of the line thorugh (3,5) (6, -1) | 1) find slope; m=-2 2)use ponit-slope form with either point; y-5=-2(x-3) 3) standard form; 2x+y=11
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| ARITHMETIC SEQUENCE | a sequence with a constant difference between successive terms
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| RECURSIVE FORMULA | a1 an=an-1+d
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| EXPLICIT FORMULA | an= a1+(n-1)d
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| GREATEST INTEGER SYMBOL [] (round down) | EX: [2 3/4]=2; [-2.1]=-3
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| EX: Bottles are oackaged in cartons of 8. Write an equation that gives the nmber of complete cartons c packaged each day, if the company prepares b bottles each day. | c=[b/8]
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Created by:
jessries0139
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