Answer:
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
