Question

Can someone please explain to me how to graph the equation in the top left corner? I know that line is right but I don’t know why.

Answer 1

This is just y=mx+b in simplified terms.

The traditional way would be written as:

`y=-(1)/(2)x+(5)/(2)`

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
`-(1)/(2)x`.

Since the y-intercept is positive
`(5)/(2)`, 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.

Answer 2

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