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Show that the line joining the points A(...

Show that the line joining the points A(4,8) and B(5,5) is parallel
to the line joining the points C(2,4) and D(1,7).

Text Solution

Verified by Experts

A(4,8),B(5,5),C(2,4) and C(1,7)
Slope of line ` AB = (5-8)/(5-4)`
`= (-3)/(1) = - 3`
Slope of line `CD = (7-4)/(1-2) `
`= (3)/(-1) = -3`
` therefore ` slope of line AB = slope of line CD
Parallel lines have equal slopes .
` therefore " line AB "||` line CD .
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