Question

Which of the given points would be in a table generated by the equation below?

Which of the given points would be in a table generated by the equation below?

px + qy = s

Answer Choices :

`( 0, q )`

`( 0 , s/q)`

`(p,0)`

`(p/s, 0)`

Answer 1

`color(blue)((0,s/q) " and " (p/s,0)`

Explanation:

`px+qy=s`

Rearrange this so `y` is the subject:

`y=-(px)/q+s/q`

This is just the equation of a line. Looking at `(0,q)`

Substitute `x=0` in: `color(white)(88)y=-(px)/q+s/q`

`y=-(p(0))/q+s/q=>y=s/q`

`(0,p)` not in the table

Looking at `(0,s/q)`

We can see from above .i.e. `y=s/q` that this is in the table.

`(0,s/q)` in table

Looking at `(p,0)`

Substitute `y=0` in: `color(white)(88)y=-(px)/q+s/q`

`0=-(px)/q+s/q`

Multiply both sides by `q`:

`0=-px+s`

Subtract s:

`-s=-px`

Divide by `-p`

`x=s/p`

`s/p!=p`

`(p,0)` not in table

Looking at `(p/s,0)`

We found this was true in the last test.

`(p/s,0)` in table