Question

How do you write an equation in standard form with integer coefficients for the line with slope 17/12 going through the point (-5,-3)?

Answer 1

`17x-12y=-49`

Explanation:

The equation is like that:
`y=mx+b`
`m` is the slope which equals to `17/12`
`x=-5`
`y=-3`
`b` is the intercept.

So
`-3=17/12*(-5)+b`
`-3=-85/12+b`
`-3+85/12=b`
`-36/12+85/12=b`
`49/12=b`

An equation in standard form:
`y=17/12x+49/12`
`y*12=17/12*12+49/12*12`
`12y=17x+49`
`17x-12y=-49`