Equation of Lines

Find Slope

100

Slope Intercept Form

y=-5x+6

-5

200

Point Slope Form

y-3=4(x-5)

4

300

Points

(2,4) (5,13)

9/3

=3

400

Points

(-2,9) (-2,6)

-3/0

undefined

500

Standard Form

3x-y=4

-y=-3x+4

y=3x-4

m=3

Put into Slope Intercept Form

100

Slope: -2

y intercept: 4

y=-2x+4

200

Slope: 2

Point: (3,8)

y=2x+2

300

y-3=-3(x+4)

y=-3x-9

400

Standard Form

4x-y=15

m=4

500

2 Points

(-4,2)(-2,16)

y=7x+30

Parallel Lines

100

What is true about the SLOPES?

They are the SAME

200

What would the slope be of a parallel line, 

given y=6x-3

m=6

300

What slope would you use for a parallel line to these points? (hint: find slope)

(3,9) (-7,4)

1/2

400

write an equation of the line that passes THRU (5,4) and PARALLEL to y=3x+5

y=3x-11

500

write an equation of the line that passes THRU (8,-3) and PARALLEL to y=3/4x+5

y=3/4x - 9

Perpendicular Lines

100

What is true about PERPENDICULAR lines

Their slopes are FLIPPED and SWITCHED

200

What would the slope be of a PERPENDICULAR line, 

given y=3/4x-3

flip and switch

-4/3

300

What slope would you use for a perpendicular line to these points? (hint: find slope)

(3,9) (-7,4)

-2

400

write an equation of the line that passes THRU (5,4) and PARALLEL to y=-1/3x+5

y=3x-11

500

write an equation of the line that passes THRU (15,-11) and PERPENDICULAR to y=3/5x-8

y=-5/3x+14

Standard Form

100

What form is this equation in?

2x+8y=-3

standard form

200

Put this into standard form:

-2x+6y=5

2x-6y=5

*number in front of x must be +

300

Put in standard form 

1/2x+4x=7

1x+8x=14

*clear fraction*

400

What are the x and y intercepts

2x-4y=8

x (4,0)

y (-2,0)

500

Put into Standard form

y+2=-5(x+3)

y+2=5x-15

y=-5x+13

5x+y=13