SOLUTION: I need help with the question through (4,-4), parallel to y=-x-4

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Question 1109896: I need help with the question through (4,-4), parallel to y=-x-4
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
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I need help with the question OF HOW TO FIND THE EQUATION FOR THE LINE through (4,-4), parallel to y=-x-4.
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Using the point-slope form, if you want, slope needed for "parallel", is -1, as from y=-1%2Ax%2Bb.

y-%28-4%29=-1%28x-4%29-----according to the point-slope form
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y%2B4=-x%2B4
highlight%28y=-x%29

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


In the given equation, y = -x-4 (or y = -1x-4), the -1 is the slope of the line.

Any line parallel to the given line will have the same slope; so it will have an equation of the form y = -x+k, where k is some constant.

If you know the coordinates of a point that the new line passes through, you can determine the value of k by using those coordinates in the general form of the equation:

y+=+-x%2Bk
-4+=+-4%2Bk
0+=+k

The required constant, to have the line pass through (4,-4), is 0; so the equation of the line is y = -x+0, or just y = -x.