Question 827744
You must really mean, {{{y-5=(3/2)(x+4)}}};


Follow this general example:
{{{y-k=(v/h)(x-p)}}} ---- the point-slope form of your given example, but now generalized;
{{{(y-k)h=v(x-p)}}}
{{{hy-hk=vx-p}}}
{{{vx-p=hy-hk}}}
{{{vx-hy-p=hk}}}
{{{highlight_green(vx-hy=p+hk)}}} ---- this would be standard form.  It generally corresponds to Ax+By=C


The given generalized example uses v/h as the slope, in which you may imagine v and h are integers.  This permits demonstrating the clearing of the fraction, by multiplying both sides by the denominator.