Respuesta :
k, so the first step is to determine the parent function which is y = x
Y intercept at 0 and slope of 1. To convert y = x to y = (x-5)/-2, we just need to divide the numerator by the denominator: 1 - 5/-2 to find that the slope is -0.5 and the y intercept is 2.5
This is just y=mx+b in simplified terms.
The traditional way would be written as:
[tex] y=-\frac{1}{2}x+\frac{5}{2}[/tex]
Since the slope and the y-intercept both have the same denominator, you can put it under (x-5)
Since there is an understood 1 in front of x, it is still treated as [tex] -\frac{1}{2}x[/tex].
Since the y-intercept is positive [tex] \frac{5}{2}[/tex], you can change them both to negative and it will be positive.
I know this explanation is confusing, but it is rarely seen like this. Just understand that it is equivalent.