Question

equations card sorter

Answer 1

@jim_thompson5910

Answer 2

any equation that is a direct variation is of the form y = k*x

also if it is possible to place it into that form, then it is a direct variation equation

k is a constant

Answer 3

example: y = 3x

k = 3 in this case

Answer 4

i have already done a few of them but most of them are confusing

Answer 5

inverse variation equations look like y = k/x which can be rearranged into x*y = k

Answer 6

ok

Answer 7

i have done the inverse variation box

Answer 8

something like x+y = 9 is NOT a direct variation equation because you can't write it into the form y = k*x

x+y = 9 is NOT an inverse variation equation because you can't write it into the form y = k/x or into the form x*y = k

Answer 9

ok

Answer 10

do you want me to tell you which ones i put for inverse variation?

Answer 11

sure

Answer 12

xy=18
xy=30
xy=-24
y=6/x
y=-48/x

Answer 13

are those correct

Answer 14

all are inverse, good

Answer 15

now for direct variation i put
y=5x
2y=-3x
4y=x

Answer 16

are those correct

Answer 17

there are 2 more

Answer 18

those 3 are correct though

Answer 19

x=7

Answer 20

is that another one

Answer 21

no

Answer 22

two variables need to be present

Answer 23

y=x

Answer 24

yes because that is really y = 1*x

Answer 25

k = 1

Answer 26

what else?

Answer 27

y=-3

Answer 28

two variables need to be present

Answer 29

x+y=9

Answer 30

all direct variation equations are linear equations with a y-intercept of 0

ie they all go through the origin (0,0)

Answer 31

so if a linear equation does not go through the origin, then it's not a direct variation equation

Answer 32

so its 2x+y=0

Answer 33

yes because that has a y-intercept of 0

you can rewrite it as

2x+y=0

2x+y-2x=0-2x

y = -2x

so k = -2

Answer 34

for linear equation i put
y=3x-1
x=7
y=-3
x+y=9
x=2y=14

Answer 35

are those correct

Answer 36

everything in that list but things like x*y = 18 are linear equations

equations like x*y = 18 are hyperbolas and don't graph straight lines

Answer 37

notice how the "direct variation" bubble is inside the "linear equations" box

that means all direct variation equations are linear equations

Answer 38

but not the other way around. ex: 2x+y = 10

Answer 39

ok i understand it very well thank you soo much you helped me alot

Answer 40

np