SOLUTION: Use the point-slope form of the equation y + 4 = 5(x + 6) to identify a point the line passes through and the slope of the line. answer choices: a) (−6, −4);

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Question 449107: Use the point-slope form of the equation y + 4 = 5(x + 6) to identify a point the line passes through and the slope of the line.

answer choices:

a) (−6, −4); 5
b) (−6, −4); −5
c) (6, 4); 5
d) (6, 4); −5

Answer by Leaf W.(135) About Me  (Show Source):
You can put this solution on YOUR website!
Point slope form is y+-+y%5B1%5D+=+m%28x+-+x%5B1%5D%29. Here, you are looking for (x%5B1%5D, y%5B1%5D) and m, using the equation y + 4 = 5(x + 6)
First off, 'm' is fairly easy to find, as it is right outside of (x+-+x%5B1%5D), or (x + 6). It is 5.
Next, find y%5B1%5D in y+-+y%5B1%5D, or y + 4. At first, one might think it is 4, but note that in point slope form there is a minus (y MINUS y%5B1%5D), but in the equation it is a plus (y PLUS 4). Since two negatives equal a positive, change y + 4 to y - (-4), which more closely follows y+-+y%5B1%5D. So, y%5B1%5D is -4.
Finally, Find x%5B1%5D in x+-+x%5B1%5D, or x + 6. Note that it is the same kind of deal as with the y (x MINUS x%5B1%5D versus x PLUS 6), so change x + 6 to x - (-6). So, x%5B1%5D is -6.
***THEREFORE, YOUR ANSWER IS a) (-6, -4); 5