Standard Form
Parallel
Perpendicular
Substitution
Elimination
Miscellaneous
100

x- and y-intercepts for the problem

x+2y=8

x-intercept=8

y-intercept=4

100

Parallel or perpendicular?

y=-x-12

x+y=1

Parallel

100

y=6x-11

-2x-3y=-7

(2,1)

100
-4x-2y=-12

4x+8y=-24

(6,-6)

100

Slope and y-intercept of y=5x-2

Slope=5

y-intercept=-2

200

x- and y-intercept for the problem

5x-3y=15

x-intercept=3

y-intercept=-5

200

Parallel or perpendicular?

y=-2/3x-2

y=3/2x+4

Perpendicular

200

-3x-3y=3

-5x-17=y

(-4,3)

200

8x+y=-16

-3x+y=-5

(-1,-8)

200

An equation in point-slope form that passes through (-3,6) and has a slope of -5

y-6=-5(x+3)

300

Turn into standard form

y=3x+1

-3x+y=1 or 3x-y=-1
300

Parallel line in slope-intercept form

(3,4) and y=3/2x+3

y=3/2x-1/2 or y=1.5x-.5

300
-3x+3y=3

-5x+y=13

(-3,-2)

300

-7x+y=-19

-2x+3y=-19

(2,-5)

300

All solutions for lxl+2=9

x=7 or -7

400

Turn into standard form

y-3=5(x-4)

-5x+y=-17 or 5x-y=17

400

Perpendicular line in slope-intercept form

(-3,-3) and 7x+4y=16

y=4/7x-9/7 or y=.57x-1.29
400

-2x+6y=6

-5=-7x+8y

(3,2)

400

-7x-8y=9

-4x+9y=-22

(1,-2)

400

Translate y=lxl 9 units right

y=lx-9l

500

Turn into standard form with integers (whole numbers)

y=7/2x+1/4

-14x+4y=1 or 14x-4y=-1

500

Parallel line in slope-intercept form

(-4,3) and -2x+5y=10

y=2/5x+23/5 or y=.4x+4.6

500

-3x+3y=4

-x+y=3

No solution

500

-14=-20y-7x

10y+4=2x

(2,0)

500

All solutions for 3l2z+9l+12=10

No solution

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