Standard Form
What is Standard Form?
Ax + By = C
Draw Parallel Lines
Two Lines that never touch
What is Point Slope Form?
y-y1=m(x-x1)
Find m
K=(mv^2)/2
m=(2K)/V^2
Convert this equation into slope-intercept form
2x+y=3
y=-2x+3
Draw Perpendicular Lines
Two Lines that cross AT 90 Degrees
Write an equation in Point slope form from these points
(2, -1) and (4,-6)
y+1=-5/2(x-2)
OR
y+6=-5/2(x-4)
Find H
T=Gx+Hy
H=(T-Gx)/y
Convert this equation into slope-intercept form
3x-2y=-14
y=3/2x+7
What is the difference between the slopes of parallel and perpendicular Lines?
Parallel Lines have the Same Slope
Perpendicular Lines have OPPOSITE RECIPROCAL Slopes
Write an equation in Point slope form from these points
(-3, -8) and (2,7)
y+8=3(x+3)
OR
y-7=3(x-2)
Convert this equation into Standard Form
y-7=-2(x+3)
2x+y=1
Write an equation of a Line that passes through (4,3) and is Perpendicular to the line
y=2x-4
y=-1/2x+5
Write an equation in Point slope form from these points
(1, 6) and (2,5)
y-6=-1(x-1)
OR
y-5=-1(x-2)
Convert this equation into Standard Form
y+8=3(x+3)
-3x+y=1
What is the opposite Reciprocal of 3?
m=-1/3
In 6 months, Ryan paid $594 for cable. In 11 months, he paid $989. Write an equation in Point Slope Form.
y-594=79(x-6)
OR
y-989=79(x-11)