Question 44900
For any linear equation {{{ax + by = c}}}, we have that the X-intercept is found by setting y to 0, getting {{{ax=c}}}. From that, we conclude that we can say that {{{x = c/a}}}. The Y-intercept is, equally, {{{c/b}}}. We find the lcm of 2 and 3 (so we can equal them), that is 6. Therefore, c = 6.

We solve:

{{{6/a = 2/3}}}
{{{a = 9}}}

{{{6/b = 3/2}}}
{{{b = 4}}}

Checking:

*[invoke describe_linear_equation 9, 4, 6 ]