Question 970910: Which linear function represents the line given by the point-slope equation y + 7 = –2/3(x + 6)?
A. f(x)= -2/3x-11
B. f(x)= -2/3x -1
C. f(x)= -2/3x +3
D. f(x) = -2/3 +13
Found 2 solutions by stanbon, Boreal:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Which linear function represents the line given by the point-slope equation
y + 7 = –2/3(x + 6)?
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y = (-2/3)x -4+7
y = (-2/3)x+3
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Cheers,
Stan H.
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A. f(x)= -2/3x-11
B. f(x)= -2/3x -1
C. f(x)= -2/3x +3
D. f(x) = -2/3 +13
Answer by Boreal(15235)  (Show Source):
You can put this solution on YOUR website! It is A, and here is my thinking.
You have y with no x on the left. The slope is the coefficient of the x on the right, and distributing the (-2/3) IMMEDIATELY gives you the slope of the line. OK, all of the choices have -2/3. Now you need the constant. Distribute the (-2/3) over 6 and you get MINUS 4.
Now, all that needs to be done is to subtract 7 from both sides, (minus 4 minus 7 = minus 11), and the y is by itself, with 1 as the coefficient, and nothing else present.
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