Slope Intercept to Standard Form
Direct Variation
Parallel Lines
Perpendicular Lines
Standard Form to Slope Intercept
100
y=-2x+3
2x+y=3
100
(2,6), (8,24), (9,27), (14,42), (18, 54)
Is this direct variation?
What is the constant of variation?
What is the function rule?
Yes; constant of variation= 3; function rule:y=3x
100
Write the equation of the line parallel to y=3/5x + 6 through point (-1, 14)
y=3/5x + 14 and 3/5
100
Find the equation of the line perpendicular to
y=-4x + 2/3 going through (8,5).
y=1/4x + 3
100
3x+y=2
y=-3x+2
200
y=2x+4x-6
6x-y=6
200
(-3,-2), (9,6), (15,10), (18,12), (-21, -14)
Is this direct variation?
What is the constant of variation?
What is the function rule?
Yes; constant of variation=.6; function rule: y=.6x
200
What is the slope of the line parallel to y=1/2x +3
1/2
200
Find the equation of the line perpendicular to
y=-2/5x - 4 through point (-3,1)
y=5/2x + 1/2
200
1/3x+y=2
Is this form correct? Why or why not?
This form is incorrect because the constant in front of x cannot be a fraction or decimal
300
y=-3x-1+2x
x+y=-1
300
(20,10), (16,8), (12, 6), (8,4), (4,2)
Is this direct variation?
What is the constant of variation?
What is the function rule?
Yes; constant of variation=.5; function rule: y=.5x
300
Write the equation of the line parallel to y=4/7+3 passing through the point (1,4).
y=4/7x + 3 and 3/7
300
Find the equation of the line perpendicular to 3x+y=1 going through point (-2,1).
y=1/3x + 5/3
300
3x+2x+y=5
y=-5x+5
400
y=1/3x+6
x-3y=-18
400
(10,20), (12,24), (14,28), (16,32), (18, 36)
Is this direct variation?
What is the constant of variation?
What is the function rule?
Yes; constant of variation=2; function rule: y=2x
400
What is the equation of the line if y-5=3/5(x+5).
y=3/5x + 8
400
Find the equation of the line perpendicular to y=2/5x-3 going through point (1,-1).
y=5/2x - 2
400
2x+20y==10
y=-1/10 + 1/2
500
y=1/5x+6+1
x-5y=35
500
(-1,-2), (3,6), (5,10), (8,12), (10, -14)
Is this direct variation?
What is the constant of variation?
What is the function rule?
Not direct variation
500
What is the equation of the line parallel to the line graphed above?
y=2x-3
500
Find the equation of the line perpendicular to
2x-3y=-3 through point (-7,10).
y=3/2x + 17
500
5x+6x+10y=3
y=-11/10x +3/10