Slope Intercept Form
Point-Slope Form
Point-Slope => Slope Intercept
Parallel line
Perpendicular line
100

slope: 3

y-intercept: (0, 4)

y = 3x+4

100

slope: 5

point on the line: (3, 6)

y-6 = 5(x-3)

100

Put this equation into slope-intercept

y-2=3(x+4)

y=3x+14

100

y=3x + 1

parallel line to this equation and goes through (1, 4)

y = 3x + 1

100

y=3x + 1

Perpendicular line to this equation and goes through (-3, -3)

y = -1/3x - 4

200

slope: -5

y-intercept: (0, -6)

y = -5x-6

200

slope: -5

point on the line: (-3, -6)

y+6=-5(x+3)

200

Put these points into slope-intercept form for the line that goes through (1, 2) and (4, 8)


y=2x

200

y=-4x-3

Parallel line to this equation and goes through (3, 2)

y=-4x+14


200

y=-2x + 1

Perpendicular line to this equation and goes through (-2, 1)

y = 1/2x + 2

300

slope: 1/3

y-intercept: (0, 0)

y = 1/3x

300

slope: 1

point on the line: (0, 0)

y = x

300

Put these points into slope-intercept form for the line that goes through (3, 7) and (9, 13)

y=x+4

300

y=1/2x-3

Parallel line to this equation and goes through (-2, 4)

y=1/2x+5

300

y = 1/3x+2

Perpendicular line to this equation and goes through (-6, 6)

y = -3x-12

400

(0, 4) and (5, 8)

y = 4/5x + 4

400

(4, 7) and (6, 11)

y-7=2(x-4)

or

y-11=2(x-6)

400

Put these points into slope-intercept form for the line that goes through (2, 9) and(-4, 0)

What is the y-intercept?

y = 3/2x+6

y-intercept: (0, 6)

400

y= -4/3x + 25

Parallel line to this equation and goes through (-1, 9)

y = -4/3x + 23/3

400

y = x

Perpendicular line to this equation and goes through (-3, -3)

y = -x-6

500

(0,0) and (6, 36)

y = 6x

500

(-2, 8) and (-8, -10)

y-8 = 3(x+2)

or 

y+10 = 3(x+8)

500

Put these points into slope-intercept form for the line that goes through (-1, -4) and(-4, -13)

What is the y-intercept?

y=3x-1

y-intercept: (0, -1)

500

y = x

Parallel line to this equation and goes through (-10, -900)

y=x-890

500

y = -4/3x - 2

Perpendicular line to this equation and goes through (2, 3)

y = 3/4x-1.5

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