Slope Intercept to Standard
Standard Form to Slope
Direct Variations
Parallel Lines
Perpendicular lines
100

y=3x+8

-3x+y=8

100

x+y=c

y=-x+c

100

y=4X

Yes.

100

y=2x+5

y=2x+(any Number)

100

y=1x+3

y=-1/2x+(any Number)

200

3y=1/12x +b

-1/12x+3y=b 

200

12x+y=6

y=-12x+6

200

y=4x+1

No

200

y=3/4x+31

y=3/4x+(any Number)

200

y=-1/3x

y=3x

300

-1/3y=4x+1

-4x-1/3y=1

300

-7x+y=4

y=7x+4

300

What classifies Direct Variation.

If you divided Y/X and all come out as the same number, it is considered a direct variation

300

y=-12x

y=-12x+(any Number)

300

y=-43x+24

y=1/43x+(any Number)

400
-1/4y=14x-1.4

14x+1/4y=1.4

400

-12x+3y=6

y=4x+2

400

Is this a direct variation

1     3

2     6

4     12

yes

400

y=-4/6+21

y=4/6+(any Number)

400

Are these lines Perpendicular.

y=34x

y=1/34x

No, Perpendicular lines have opposite reciprocal slopes.

y=34x

y=-1/34x

500

2y=-123x+124

123x+2y=124

500

78x+2y=5

y=39x+5/2

500

Is this direct variation

1     5

2    10

4    15

5    20

no

500

-543x=y+12

y=-543x+(any Number)

500

What classifies a perpendicular line?

If the lines have opposite reciprocal slopes