Question 924519
What we know about the line whose equation we are trying to find out:


    it goes through point ({{{8}}}, {{{4}}})

    it has a slope of {{{-3/4 }}}

the formula for the equation, given point ({{{x[1]}}},{{{y[1]}}}) and slope {{{m}}}, is:


{{{y-y[1] = m(x -x[1])}}}.......plug in {{{x[1]=8}}},{{{y[1]=4}}} and {{{m=-3/4 }}}

{{{y -4 = (-3/4)(x -8)}}}

{{{y -4 = (-3/4)x-cross(8)2(-3/cross(4))}}}

{{{y -4 = (-3/4)x -2(-3)}}}

{{{y -4 = (-3/4)x +6}}}

{{{y = (-3/4)x +6+4}}}

{{{y = (-3/4)x +10}}}



{{{drawing( 600, 600, -5, 15, -5, 15,circle(8,4,.12),locate(8,4,p(8,4)), graph( 600, 600, -5, 15, -5, 15,(-3/4)x+10)) }}}