For what values of x and y is PQRS a parallelogram?

Step-by-step explanation:

Given

The attached parallelogram

Required

Find x and y

Opposite sides are equal

So:

This gives:

-- (1)

-- (2)

Collect like terms

Substitute

Collect like terms

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.