SOLUTION: I need to understand how to work the following problem in a section of my college algebra book called coordinate geometry and graphing techniques: Find x if the line through (-2

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Question 509227: I need to understand how to work the following problem in a section of my college algebra book called coordinate geometry and graphing techniques:
Find x if the line through (-2,4) and (x,7) has a slope of 2/9.
Thanks.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find x if the line through (-2,4) and (x,7) has a slope of 2/9.
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Slope, m, is the diffy/diffx = 2/9
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2/9 = (4-7)/(-2-x) = 3/(2+x)
2(2+x) = 3*9
4+2x = 27
x = 23/2