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Showing results for tags 'line'.
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Hi :) I am currently stuck on a question about slopes and angles. Line M: y = 3x + 10 Line N : 2y = 5x - 6 And Line P has a slope of -1/3 The question asks which is greater: The measure of the largest angle created by the intersection of Line M and Line N is greater (A) Or the measure of the largest angel created by the intersection of Line M and Line P (B) Since Line M and N are perpendicular (neg reciprocal; slope), the greatest angle that they create is 90. Since Line M and P are neither perpendicular nor parallel - they can create only two angles below 90 and two angles above 90. The answer in the book is (A), but I don't quite understand this, as surely Line M and P have 2 angles that are greater than 90.
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A straight line L passes through the point P(4,8). Indicate which of the following options may be required to know if the line also passes through any one of the points : X(12,16), Y(0,0). A) The line L intersects the line M whose equation is 10x + 20y = 0 B) the line L passes through point (2,6) C) In the equation of the line L, the constant term is 0 D) the line L is parallel to the line Q whose equation is 4x + 8y + 12 = 0 E) None of the options above According to me the answer is B,C,D. But the correct answer is given to be A,B,C,D.
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- coordinate geometry
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