Slope-Intercept Form
slope-intercept form equation
y=mx+b
point-slope form equation
y-y1=m(x-x1)
standard form equation
Ax+By=C
y=3/4x+1 y=3/4x+3
parallel
m=2 y-intercept=-4
y=2x-4
m=6 (4,5)
y-5=6(x-4)
14x-2y=28
x=7 y=-14
y=2/7x-1 y=-7/2x
perpendicular
(1,3), (2,5)
y=2x+1
m=3/4 (6,-2)
y+2=3/4(x-6)
4x-1/2y=11
x=11/4 y=-22
y-1=2(x-6) y+4=2(x+1)
parallel
m=3/4 y-intercept=3
y=3/4x+3
m=1/3 (-4,7)
y-7=1/3(x+4)
2x+3y=4
x=2 y=4/3
y-6=2/3(x+8) y=-3/2(x+9)
perpendicular
(5,6), (3,2)
y=2x-4
(0,2), (2,5)
y-2=3/2(x-0) y-5=3/2(x-2)
3x-5y=15
x=5 y=-3
y+2=4(x+4) y+7=1/4(x-3)
neither