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Question 125412This question is from textbook Fundamentals of Algebric Modeling
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This question is from textbook Fundamentals of Algebric Modeling
Answer by apachemexican1(64)   (Show Source):
You can put this solution on YOUR website! Find the slope of the line with the equation 3x - 2y = 1?
First to obtain a set of points that follow the rule of the equation, you must substitute values of x into the equation to get the corresponding values for y.
You can select any two values for x and substitute them.
x=1 and x=3(keep it simple, work smart not hard)
3(1)-2y=1
3-2y=1 then u cancel out the 3 by adding a -3 to both sides
-3 -3 subtract
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-2y=-2 work out the problem by dividing a -2 to both sides
-2 -2
the first set of negative two's cancel each other out.
Y=1 is the first answer
your first set of coordinates is (1,1).
3(3)-2y=1
9-2y=1 cancel out the 9 by adding a -9 to both sides
-9 -9
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-2y=-8 divide both sides by -2
-2 -2
y=4 so the next set of coordinates is (3,4)
now find the slope by using the equation (y2-y1)/(x2-x1)
so 4-1=3 (y2-y1)
and 3-1=2 (x2-x1)
so the slope is 3/2
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