Question

What is the equation of the line with slope `m= 14/25` that passes through `(23/5 23/10)`?

Answer 1

Point-slope form: `y=14/25 x-69/250`
Standard form: `140x-250y=69`

Explanation:

Remember that `y=mx+b` is the formula for point-slope form. All we have to do is plug in values and solve for `b`:

`23/10=14/25(23/5)+b`
`23/10=322/125+b`
`-69/250=b`
`y=14/25 x-69/250`

If you need standard form, here it is:

`-14/25 x+y=-69/250`
`-250*(-14/25 x+y)=(-69/250)*-250`
`140x-250y=69`

Hope this helped! :)