SOLUTION: 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).

Question 1209095: 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).
Answer by ikleyn(52803) (Show Source): You can put this solution on YOUR website!
.
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).
~~~~~~~~~~~~~~~~~~

To solve, you should know the formula for the slope  m = .


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

             m =  = .


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

              = ,

              = .


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 =  = 4.    ANSWER

Solved.

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