Question 1101065
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The slope of a straight line passing through two given points  ({{{x[1]}}},{{{y[1]}}})  and  ({{{x[2]}}},{{{y[2]}}})  is:

m = {{{(y[2]-y[1])/(x[2]-x[1])}}}.


Substitute the given data into this equation


{{{-3/13}}} = {{{(y-3)/(-7-9)}}}.


Simplify and solve for "y":


{{{-3/13}}} = {{{(y-3)/(-16)}}},  or,  equivalently,  {{{3/13}}} = {{{(y-3)/16}}}.


y - 3 = {{{(3*16)/13}}} = {{{48/13}}} = {{{3}}}{{{9/13}}}  ====>  y = {{{6}}}{{{9/13}}} = {{{87/13}}}.
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