Lydia writes the equation below with a missing value.
y=5x - __
she puts a value in the box and says that the equation represents a direct variation. which explains whether the equation could represent a direct variation?
a. if she puts 0 in the box she would have a direct variation.
b. if she puts 5 in the box she would have a direct variation.
c. the equation is not of the form y=kx, so it cannot represent a direct variation.
d. the equation has a minus sign, so it cannot represent a direct variation.

Option (a) is correct.

If she puts 0 in the box she would have a direct variation.

Step-by-step explanation:

 Given : Lydia writes the equation y = 5x - __ with a missing value.

She puts a value in the box and says that the equation represents a direct variation.

We have to choose the correct option from the given options that explain that  the equation could represent a direct variation.

When two variables are such that one is a constant multiple of other, we said they are in Direct variation.

That is in form of y = ax , here y and x are in direct variation.

Consider the given equation y = 5x  - __

For the equation to be in direct variation the value of missing term has to be 0.

then equation becomes,

y = 5x

Thus, If she puts 0 in the box she would have a direct variation.

Option (a) is correct.

360 different combinations

the first domain and range set to the left is matched with the top relation, and the second set the set in the middle goes with the bottom relation.