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

really really sorry if i'm

-12 -5(x + 4) = 3x

-12 - 5x - 20 = 3x

-12 - 20 - 5x = 3x

-32 - 5x = 3x

    + 5x   + 5x

-32 = 8x

8         8

- 4= x

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