SOLUTION: Which of the following are point-slope equations of the line going through (-2, -2) and (2, 1)?

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Question 1040124: Which of the following are point-slope equations of the line going through (-2, -2) and (2, 1)?
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Which of the following are point-slope equations of the line going through
(-2, -2) and (2, 1)?
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slope = (1--2)/(2--2) = 3/4
Form:: y = mx + b
Solve for "b" when m = 3/4, x = 2 and y = 1
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1 = (3/4)2 + b
b = -1/2
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Equation:
y = (3/4)x - (1/2)
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Cheers,
Stan H.
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Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(-2,-2 )
( 2, 1 )
The slope is: [ change in y ] / [ change in x ]
+%28+1+-%28-2%29+%29+%2F+%28+2+-%28-2%29+%29+=+3+%2F+4+
-----------------------------
Use one of the given points in the
point-slope formula
( 2,1 )
+%28+y+-+1+%29+%2F+%28+x+-+2+%29+=+3%2F4+
+y+-+1+=+%283%2F4%29%2A%28++x+-+2+%29+
+y+-+1+=+%283%2F4%29%2Ax+-+3%2F2+
+y+=+%283%2F4%29%2Ax+%2B+2%2F2+-+3%2F2+
+y+=+%283%2F4%29%2Ax+-+1%2F2+
Here's the plot:
+graph%28+400%2C+400%2C+-5%2C+5%2C+-5%2C+5%2C+%283%2F4%29%2Ax+-+1%2F2+%29+