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) (Show Source):
You can put this solution on YOUR website! Point slope form is . Here, you are looking for ( , ) and m, using the equation y + 4 = 5(x + 6)
First off, 'm' is fairly easy to find, as it is right outside of ( ), or (x + 6). It is 5.
Next, find in , or y + 4. At first, one might think it is 4, but note that in point slope form there is a minus (y MINUS ), 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 . So, is -4.
Finally, Find in , or x + 6. Note that it is the same kind of deal as with the y (x MINUS versus x PLUS 6), so change x + 6 to x - (-6). So, is -6.
***THEREFORE, YOUR ANSWER IS a) (-6, -4); 5
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