Question 1126371

to find the equation of the line passing through the point ({{{7}}},{{{ -8}}}) with slope {{{m=-6/7}}}, use point-slope formula:

{{{y-y[1]=m(x-x[1])}}}...plug in ({{{x[1]=7}}},{{{y[1]= -8}}}) and {{{m=-6/7}}}

{{{y-(-8)=-(6/7)(x-7)}}}

{{{y+8=-(6/7)x-(-(6/7))7)}}}

{{{y+8=-(6/7)x+(6*7)/7}}}

{{{y+8=-(6/7)x+6}}}

{{{y=-(6/7)x+6-8}}}

{{{y=-(6/7)x-2}}}


{{{drawing(600, 600, -10, 10, -10, 10,
circle(7,-8,.12), locate(7,-8,p(7,-8)),
 graph(600, 600, -10, 10, -10, 10, -(6/7)x-2)) }}}