SOLUTION: write an equation in point-slope form for the line that satisfies the following condition. slope 1/2 and passes through (4,-1)

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Question 218784: write an equation in point-slope form for the line that satisfies the following condition. slope 1/2 and passes through (4,-1)
Answer by MathTherapy(10552) About Me  (Show Source):
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write an equation in point-slope form for the line that satisfies the following condition. slope 1/2 and passes through (4,-1)

Since we have the slope, or m of 1%2F2 and point (4, -1), we use the point-slope form to get the equation.

y+-+y%5B1%5D+=+x%28x+-+x%5B1%5D%29----- Point-slope form

y+-+-+1+=+%281%2F2%29%2A%28x+-+4%29----- Substituting slope 1%2F2 and point (4, -1) into equation

y+%2B+1+=+%281%2F2%29%2Ax+-+%281%2F2%29%2A4 ------ y+%2B+1+=+%281%2F2%29%2Ax+-+2%29

y+=+%281%2F2%29%2Ax+-+2+-+1 ----- Subtracting 1 from each side of equation

Therefore, we have: highlight_green%28y+=+%281%2F2%29%2Ax+-+3%29