Consider pairs <x,y>,...,<xn,yn> for i=1, ...,n. zi=cxi+d Express b sub(z*x) in terms of b sub(y*x) and a sub(z*x) in terms of a sub(y*x).

I have been stumped on this one for hours! Sub (y*x) means its a subscript. Thank you to anyone who can help :)

To express b sub(z*x) in terms of b sub(y*x), we can use the given equation:

zi = cxi + d

By substituting z*x for z and y*x for y in the equation, we get:

zi = c(xi*x) + d

Now, we can rearrange the equation to isolate b sub(z*x):

b sub(z*x) = zi - d
= c(xi*x) + d - d
= c(xi*x)

So, b sub(z*x) equals c multiplied by xi*x.

Similarly, to express a sub(z*x) in terms of a sub(y*x), we can substitute z*x for z and y*x for y in the given equation:

zi = cxi + d

This gives us:

zi = c(xi*x) + d

Again, rearranging the equation to isolate a sub(z*x):

a sub(z*x) = xi*x

So, a sub(z*x) is equal to xi*x.

In summary:
b sub(z*x) = c(xi*x)
a sub(z*x) = xi*x