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How do you find the distance between the 2 parallel lines if the problem gives you y=x and y=x4
 one year ago
 one year ago
How do you find the distance between the 2 parallel lines if the problem gives you y=x and y=x4
 one year ago
 one year ago

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ipm1988Best ResponseYou've already chosen the best response.0
Solve them simultaneously
 one year ago

FaisalAyazBest ResponseYou've already chosen the best response.0
Line 1) y = 2/7x + 4 Line 2) y = 2/7x  2 Pick a point on line 1  (7/2 ,5) Now find the equation of the line that is perpendicular to line 1 and passes through (7/2, 5) y  5 = (7/2)(x  7/2) y  5 = (7/2)x + 49/4 y = (7/2)x +69/4 Now find the point where this perpendicular line crosses line 2: (2/7)x  2 = (7/2)x + 69/4 (4/14)x  8/4 = (49/14)x + 69/4 (53/14)x = 77/4 x = 1078/212 = 539/106 Plug this value for x into line 2 to find the y coordinate y = (2/7)(539/106)  2 y = 1078/742  1484/742 y = 406/742 = 29/53 The the perpendicular line crosses line 1 at (7/2, 5) and line 2 at (539/106, 29/53) so to find the distance between these points lets use the distance formula: d = SQRT((29/53  5)^2 + (539/106  7/2)^2) d = 5.77 rounded to the nearest hundreths
 one year ago
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