Question

What is a direct variation equation going through (-4,4)?

a. y=4x
b. y=x
c. y=-x
d. y=-4x​

Answer 1

c.
`y=-x`

Explanation:

We can find this by substituting in our ordered pair (-4,4) into each equation to see if we get the same value on each side

a.
`y=4x\\\\4=4(-4)\\\\4=-16`

A it is not the right equation

b.
`y=x\\\\4=-4`

B it is not the right equation

c.
`y=-x\\\\4=-(-4)\\\\4=4`

C is the right equation

d.
`y=-4x\\\\4=-4(-4)\\\\4=16`

Dis not the right equation