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anonymous
 5 years ago
Find the distance between the parallel lines m and n whose equations are
y = x + 4 and y = x  6, respectively.
anonymous
 5 years ago
Find the distance between the parallel lines m and n whose equations are y = x + 4 and y = x  6, respectively.

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0to find the shortest distance between two lines you hvae to take distance perpendicular that intersects both the lines.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0perpendicular slope is the reciprocal of the slope of any equation

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0perp slope =  reciprocal slope of any equation

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so let's say we take perpendicular slope of x + 4 line. slope = 1 so perp slope = 1/1 = 1. so y = x + b. now let's just simplify b = 0 .we can do this only because our two lines are parallel. so if we take y = x next step is to find the intersection of y= x and y = x 6. so x = x  6 2x = 6 x = 3 so y = 3 so we get point (3, 3) as intersection point. now point POI between x and x +4 x = x + 4 2x = 4 x = 2 hence y = 2 so (2,2) is another intersection point. now find the distance between the two using the distance equation d = sqrt [ (xx1)^2 + (y  y1)^2 ] using the two intersection points
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