Standard form
Convert 2x+3y=24
y=-2/3x+8
Find the rate of change
(2,4)(3,6)
2
slope of parallel line
-6x-4y=-1
-3/2 or -1.5
2y=16x
3x = 2y - 9
Determine whether or not these equations show a direct variation, if it does find the constant.
2y=16x K=8
3x = 2y - 9
Not direct varation
Find the 50th term
The 50th term is 263
Convert -4x+6y=24
y=2/3x+4 or y=4/6x+4
Find the Rate of Change
(1,7)(2,14)
7
slope of perpendicular line
-6x-4y=-1
2/3
3y=21x
4x = 6y + 5
Determine whether or not these equations show a direct variation, if it does find the constant.
3y=21x
K=7
4y = 6x +5
Not direct variation
13, 21, 29, 37, ...
Find the 70th term
The 70th tern is 565
Convert 4.5x+9y=72
y=-1/2x+8 or y=4.5/9x+8
Find the Rate of Change
(-3,-5) (7,10)
15/10 or 3/2 or 1.5
Slope of parallel line
7x+9y=18
-7/9
2.5y=20x
7x = 5y - 2
Determine whether or not these equations show a direct variation, if it does, then find the constant.
2.5y=20x
K=8
7x = 5y -2
Not direct variation
15, 21, 27, 31, ...
Find the 75th term
The 75th term is 459
2.75x+11y=22
y=1/4x+2
Find the Rate of Change
(-4,-8) (-9,-3)
-1
Slope of perpendicular line
7x+9y=18
9/7
Suppose that y varies directly with x, and y=15 when x=6
a) Write a direct variation equation that relates x and y.
b)Find y when x=7.
a)y=5/2x
b)y=35/2
17, 22, 27, 32, ...
Write an explicit formula for the nth term an.
an = 12 + 5n
-1.25x+10y=30
y=1/8x+3
Find the Rate of Change
(2.5,1.5)(1.75,3.15)
-2.2
Slope of parallel and perpendicular
2.5x-7.5y=30
Parallel:1/3
Perpendicular:-3
Suppose that y varies directly with x, and y=30 when x=5.
a)Write a direct variation equation that relates x and y.
b)Find y when x=9
a)y=6x
b)y=54
16, 23, 30, 37, ...
Write an explicit formula for the nth term an.an = 9 + 7n