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