SOLUTION: What is the point and slope of the equation y + 7 = 1/2(x + 1)

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Question 1159377: What is the point and slope of the equation y + 7 = 1/2(x + 1)
Found 3 solutions by mananth, josgarithmetic, jim_thompson5910:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!

y + 7 = 1/2(x + 1)
y = (1/2)x +1-7
y= (1/2)x -6
slope = 1/2
(12,0)

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
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What is the point and slope of the equation y + 7 = 1/2(x + 1)
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That is IT already. The only other that might be useful is adjust for the signs in the form, and for clarity include grouping symbol.

y-%28-7%29=%281%2F2%29%28x-%28-1%29%29


MISUNDERSTOOD QUESTION -------

You want THIS:
y+%2B+7+=+%281%2F2%29%28x+%2B+1%29

Find the slope here, y+%2B+7+=+highlight%281%2F2%29%28x+%2B+1%29

You find point (x,y) here, y+-%28highlight_green%28-7%29%29+=+%281%2F2%29%28x+-+%28highlight_green%28-1%29%29%29, (-1,-7).

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

The slope is 1/2
The point the line goes through is (-1, -7)

There are infinitely many points this line goes through, but the one point we can read directly from the point-slope equation is (-1,-7) because we can write
y+%2B+7+=+expr%281%2F2%29%28x%2B1%29
into
y+-+%28-7%29+=+expr%281%2F2%29%28x-%28-1%29%29

From here, we compare that to y-y%5B1%5D+=+m%28x-x%5B1%5D%29 and see that
m+=+1%2F2 is the slope and is one point the line goes through.