Enter Title

Variation

100

y varies directly with x, and y=12 when x=3,  what is the constant of variation for their relationship? Hint: k=y/x

4

200

What is the value of y when x=10

The equation y=4x models the relationship between x and y for this scenario. Plug in for x and multiply. x=10

40

300

y varies directly with x, and y=21 when x=24. What is the constant of variation for their relationship? 

k=21/24

y=7/8x

400

If x and y vary directly and y=31.2 when x=5.2, the constant of variation for their relationship is k=6. What is the value of y, when x=6. 

y=6x

36

500

What is the value of y when x=-4

The equation y=4x models the relationship between x and y for this scenario. Plug in for x and multiply. x= -4

-16

Write in Slope-Intercept Form

100

m=-7 and b=2

y=-7x+2

200

m=1/2 and b=6

y=1/2x+6

300

m=-7/3 and b=-8

y=-7/3x-8

400

m=-6 and b=4

y=-6x+4

500

m=0.5 and b=1.25

y=0.5x+1.25

Point-Slope Form

100

m=12 and (3,4) is the point on the line

y-4=12(x-3)

200

slope=-2/7 and passes through (5,-2)

y+2=-2/7(x-5)

300

slope(m)=3 and passes through (-4,6)

y-6=3(x+4)

400

m=-3 and passes through (2,-12) 

y+12=-3(x-2)

500

m=8/3 and passes through (9,-4)

y+4=8/3(x-9)

Point-Slope to Slope Intercept Form

100

y-4=2/3(x+3)

y=2/3x+6

200

y-6=5(x+4)

y=5x+26

300

y-3+-2(x+2)

y=-2x-1

400

y-14=2(x-1)

y=2x+12

500

y+1=-3/4(x+8)

y=-3/4x-7

Find the Slope

100

(2,-12) (5,-3)

3

200

(0,-5) and (2,3)

4

300

(5,1) (0,6)

1

400

(10,5) and (2,15)

-5/4

500

(36,9) and (18,-3)

2/3