The vector 6,-5 is reflected across the y=x and the resulting matrix is dilated by a scale of -1.5

a = -6.5 and b = 4.5

Step-by-step explanation:

We have the vector (x,y) = (6, -5).

The reflection of a vector (x,y) across the line y=x is given by (y,x).

So, the reflection of (6,-5) across y=x will be (-5,6).

Now, dilation is a transformation which changes the size and our resultant vector (-5,6) is dilated by -1.5 means we need to add -1.5 to the vector.

i.e. (-5 + (-1.5) , 6 - 1.5)

i.e. (-6.5, 4,5) = (a,b)

Hence, a = -6.5 and b = 4.5

to find the unit price, we must figure out the cost of one item (in this case one dish towel).   to do this, we divide the total price ($7.92) by the number of items bought (for this problem it is 8, because there are eight dish towels in one pack).  

$7.92/8 = $0.99

therefore, the unit price, or the price of one dish towel, is $0.99.

hope this !