Question

What is the equation of the line with slope `m= -36/49` that passes through `(22/7, -47/21)`?

Answer 1

`y=-36/49x+73/1029`

Explanation:

The general idea is to use this formula and just substitute the point e the slope:
`y-y_p=m(x-x_p)`

Hence we get:
`y-(-47/21)=-36/49(x-22/7)`

`y+47/21=-36/49x+792/343`

`y=-36/49x+792/343-47/21`

The LCD is `1029`
`y=-36/49x+(2376-2303)/1029`

The final equation is:
`y=-36/49x+73/1029`