Question 75677
{{{y-y[1]=m(x-x[1])}}}
{{{y-y[1]=m(x-x[1])}}} Plug in the given slope and the point (you're on the right track but you mixed up your x and y point)
{{{y-7=(4/5)(x-(-3))}}}
{{{y-7=(4/5)(x+3)}}}
{{{y-7=(4/5)x+(4/5)(3))}}} Distribute the (4/5)
{{{y-7=(4/5)x+12/5}}} Multiply
{{{y=(4/5)x+12/5+7}}} Add 7 to both sides
{{{y=(4/5)x+12/5+35/5}}}
{{{y=(4/5)x+47/5}}}
{{{y-(4/5)x=47/5}}}Subtract {{{(4/5)x}}} from both sides
{{{5(y-(4/5)x)=cross(5)(47/cross(5))}}} Multiply both sides by the LCD (which is 5) to clear the denominators
{{{5y-4x=47}}}
So the equation in standard form is:
{{{-4x+5y=47}}}
Where A=-4, B=5,C=47
If you want A>0 then it equals:
{{{4x-5y=-47}}}
Where A=4, B=-5,C=-47