Writing in Point-Slope Form (Given a Point and a Slope)
Through: (-3, 5)
Slope = 5
y - 5 = 5(x + 3)
Through: (2, 3) and (5, 5)
y - 3 = 2/3 (x - 2)
Through: (1, 5)
Parallel to:
y = 4x - 3
y - 5 = 4(x - 1)
Through: (4, -1)
Perpendicular to: y = 2x - 5
y + 1 = - 1 /2 (x - 4)
2x-4y=16
Make sure to simplify!
y=1/2x-4
(4,2) (0,8)
m=-3/2
Determine parallel, perpendicular and neither.
y=5x+4
y=5x+6
Parallel
Through: (-3, -1)
Slope = -1
y + 1 = -(x + 3)
Through: (-1, 4) and (0, 5)
y - 4 = x + 1
Through: (3, 2)
Parallel to
y = 5/3 x - 5
y - 2 = 5/3 (x - 3)
Through: (5, 1)
Perpendicular to:
y = - 5 /4 x - 3
y - 1 = 4/5 (x - 5)
4y=12x+24
y=3x+6
(10,2) (14,7)
m=5/4
Determine if the equations are parallel, perpendicular or neither.
(2,-1) (5,-7) and (0,0) (-1,2)
Neither
Through: (-3, 3)
Slope =
-4/3
y - 3 = - 4/3 (x + 3)
Through: (-2, -4) and (-3, -4)
y + 4 = 0
Through: (-4, -1)
Parallel to
y = - 1/4 x - 5
y + 1 = - 1/4 (x + 4)
Through: (5, -2)
Perpendicular to:
y + 2 = - 1/5 (x - 5)
10x+5y=20
y=-2x+4
(-2,-2) (4,-6)
m=-2/3
Determine if it is parallel, perpendicular or neither.
y=7x+2
x+7y=8
Parallel
Through: (2, 2)
Slope = 1
y - 2 = x - 2
Through: (1, 2) and (-5, 1)
y - 2 = 1/6 (x - 1)
Through: (2, 1)
Parallel to:
y = 5 /2 x + 1
y - 1 = 5/2 (x - 2)
Through: (3, -4)
Perpendicular to:
y = 2
0 = x - 3
14x+12y=24
y=-7/6x+2
(-7,3) (4,-3)
m= -6/11
Write a line that is perpendicular to the following information.
(-3,-2) y=x-2
y=-x-5
Through: (-1, -2)
Slope = undefined
0 = x + 1
Through: (0, 1) and (3, 3)
y - 1 = 2/3 x
Through: (-3, -2)
Parallel to:
y = 4/3 x + 4
y + 2 = 4/3 (x + 3)
through: (-3, 5)
Perpendicular to
y=5
0 = x - 3
5x+7y=21
y=-5/7x+3
(15,12) (8,6)
m=6/7
Write a line that is perpendicular to the following information
(10,7) 5x-6y=18
y=-6/5x+19