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Write an equation in slope-intercept form for the line that is parrallel to y=2x+6 and passes through the point (4,-4)
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Asked 12/15/2013 1:16:13 PM
Updated 6/28/2014 9:20:27 AM
1 Answer/Comment
This conversation has been flagged as incorrect.
Flagged by yeswey [6/28/2014 9:20:01 AM]
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User: Write an equation in slope-intercept form for the line that is parrallel to y=2x+6 and passes through the point (4,-4)

Weegy: There are two relevant trig identities, as well as the definition of the tangent: tan(z) = sin(z) / cos(z) These are the two identities. [ [ You can find them in any trig book or in Wikipedia: (1) sin(2x) = 2*sin(x)*cos(x) (2) cos(2x) = cos^2(x) - sin^2(x) - - - - - - - - - - First I have to compute cos(x) When the sine is 5 / 13, that means that, by the definition of the sine: sin(x) = (side opposite angle) / (hypotenuse) So letting "side opposite" = 5 and "hypotenuse" = 13, and calling the length of the "side opposite" a and the length of the hypotenuse c, by the Pythagorean Theorem (where b = the length of the other side, called the adjacent side): a^2 + b^2 = c^2..............So: 5^2 + b^2 = (13)^2 25 + b^2 = 169 b^2 = 169 - 25 = 144 b = sqrt(144) = 12. So cos(x) = 12/13.....<<<<<....This is critical (This is called a 5-12-13 right triangle.) - - - - - - - - Since sin(2x) = 2*sin(x)*cos(x), sin(2x) = 2 * (5/13) * (12/13) = 120 / 169 = 0.71006.....<<<<<...Answer for sin(2x) - - - - - - - - Since cos(2x) = cos^2(x) - sin^2(x) cos(2x) = (12/13)^2 - (5/13)^2 = [(144 - 25) / 169] = (119 / 169) = 0.70414......<<<<<...Answer for cos(2x) - - - - - - - - Since tan(2x) = sin(2x) / cos(2x) = (120 / 169)) / (119 / 169) = (1 / 169) = 0.00592.....<<<<<...Answer for tan(2x) - - - - - - - - Summarizing: - - - - - - - - - - - - sin(2x) = (120 / 169) = 0.71006 cos(2x) = (119 / 169) = 0.70414 tan(2x) = (1 / 169) = 0.00592 - - - - - - - - - - - - ] ]
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Question
Asked 12/15/2013 1:16:13 PM
Updated 6/28/2014 9:20:27 AM
1 Answer/Comment
This conversation has been flagged as incorrect.
Flagged by yeswey [6/28/2014 9:20:01 AM]
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The equation in slope-intercept form for the line that is parrallel to y=2x+6 and passes through the point (4,-4) is y = 2x - 12
Added 6/28/2014 9:20:27 AM
This answer has been confirmed as correct and helpful.
Confirmed by jeifunk [6/28/2014 9:29:57 AM]
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