Point-Slope Form
Write an equation in Point-Slope Form.
(2,2); m=5
y-2=5(x-2)
Write two equations that are equivalent to the given equation.
6x+24y=8
3x+12y=4
12x+48y=16
Write an equation that passes through the given point and is parallel to the given line.
(4,7), y=5x-3
y=5x-13
Write an equation that passes through the given point and is perpendicular to the given line.
(1,-1), y=3x+2
y= -1/3x-2/3
Identify the form of the equation.
y=-5x+4
y-intercept
Write an equation in Point-Slope Form.
(7,3); m=-1
y-3=-1(x-7)
Write two equations that are equivalent to the given equation.
8x-14y=2
4x-7y=1
16x-28y=4
Write an equation that passes through the given point and is parallel to the given line.
(3,-2), y=2/3x+1
y=2/3x-4
Write an equation that passes through the given point and is perpendicular to the given line.
(5,0), y=2/3x-4
y= -3/2+15/2
9x-2y=11
Standard Form
Write an equation in Point-Slope Form.
(0,4); m=3
y-4=3x
or
y-4=3(x-0)
Write an equation in Standard Form.
(4,3); m=7
7x-y=25
Write an equation that passes through the given point and is parallel to the given line.
(-6,1), 4x+y=7
y=-4x-23
Write an equation that passes through the given point and is perpendicular to the given line.
(3,-7), y=-1/5x+1
y=5x-22
y+3= -7(x-6)
Point-Slope Form
Write an equation in Point-Slope Form.
(-1,7); m=4
y-7=4(+1)
Write an equation in Standard Form.
(5,-1); m=2
2x-y= 11
Write an equation that passes through the given point and is parallel to the given line.
(-5,-5), 6x-y=1
y=6x+25
Write an equation that passes through the given point and is perpendicular to the given line.
(-9,2), 10x-5y=6
y= -1/2 -5/2
x+3y=7
Standard
Write an equation in Point-Slope Form.
(-8,-5); m=6
y+5=6(x+8)
Write an equation in Standard Form.
(-2,6); m=1
x-y= -8
Write an equation that passes through the given point and is parallel to the given line.
(0,-8), 8x +4y=5
y= -2x-8
Write an equation that passes through the given point and is perpendicular to the given line.
(10,-11), -2x+5y=1
y= -5/2x+14
y-8= -3(x-8)