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Equations of straight Lines

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The line L passes through the intersection of 59x - 76y + 46 = 0 and 44x - 27y + 57 = 0. If the y-intercept of L is 1 , find, a) the equation of L b) the distance from the origin to L

最佳解答:

a) Family of straight lines: 59x - 76y + 46 + k ( 44x - 27y + 57 ) = 0 where k is real Sub ( 0 , 1 ), 59(0)-76(1)+46+k[(44)(0)-27(1)+57]=0 -30+30k=0 k = 1 L: 59x - 76y + 46 + 44x - 27y + 57 = 0 x - y + 1 = 0 b) d = l ( Ax1 + By1 + C ) / sqr ( A2 + B2 ) l = l [(1)(0)+(-1)(0)+1] / sqr ( 12+(-1)2)l = sqr 2 / 2

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