Question 946636
You can find the five solutions by converting 3x-5y=15 into slope form(y=mx+b).

{{{ 3x - 5y = 15 }}}
{{{ 3x - 3x -5y = 15 - 3x }}} Subtraction Property of Equality
{{{ -5y/-5 = 15/-5 - 3x/-5 }}} Division Property of Equality
{{{ y = (3/5)x - 3 }}}

Because of this we can apply any number to x and find y to find any solution, to which you can also graph it on a coordinate plane.