Question 662427
the equation for ({{{8}}},{{{-5}}})

and {{{4x-3y=7}}}

first find a slope {{{m}}}

{{{4x-7=3y}}}

{{{y=(4/3)x-7/3}}}

{{{y=1.33x-2.33}}}......=>...{{{m=1.33}}}

now we can find the equation of a line passing through ({{{8}}},{{{-5}}}) and has a slope {{{m=1.33}}}

Write this down the formula for the equation using given point and slope:

{{{y=mx+(y[1]-mx[1])}}}

{{{y=1.33x+(-5-1.33*8)}}}

{{{highlight(y=1.33x-15.64)}}}


{{{drawing(600,600,-15,15,-15,15,grid(1),circle(8,-5,0.2),graph(600,600,-15,15,-15,15,1.33x-15.64))}}}