Question 1209095
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A line passes through the points A, B, and C.   Find y.

The coordinates are A = (-7,2), B = (-1,3), and C = (6,y).
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<pre>
To solve, you should know the formula for the slope  m = {{{(y[2]-y[1])/(x[2]-x[1])}}}.


Step 1.  Calculate the slope "m", using points A and B

             m = {{{(3-2)/(-1 - (-7))}}} = {{{1/6}}}.


Step 2.  Write an equation for the slope, using points B and C

             {{{1/6}}} = {{{(y-3)/(6-(-1))}}},

             {{{1/6}}} = {{{(y-3)/7}}}.


Step 3.  From this equation, find y.  For it, multiply both sides by 6*7 = 42.
         You will get

             7 = 6*(y-3),

             7 = 6y - 18,

             7 + 18 = 6y,

             25 = 6y,

             y = {{{25/6}}} = 4{{{1/6}}}.    <U>ANSWER</U>
</pre>

Solved.