Question 891435
You then have two points and can compute the slope.


{{{m=(5-(-4))/(0-6)}}}
{{{m=-9/6}}}
{{{m=-3/2}}}


The way standard form for a line works is that m=-(A/B), but I am referring to Ax+By=C, so that this causes no confusion among typical and assigned variables.  We have here A=3 and B=2, so we can write:
{{{highlight_green(3x+2y=C)}}}.


We can now find the value of C because we know at least one point of our line.  We were given points (6,-4) and (0,5).  This work will use the y-intercept.


{{{3*0+2*5=C}}}
{{{0+10=C}}}
{{{C=10}}};
Equation in standard form for our line is {{{highlight(3x+2y=10)}}}.