Line WX contains (−1, 2) and (4, 12) Line YZ contains points (5, 8) and (−2, −6). Lines WX and YZ are

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01-10-2016
Mathematics

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Line WX contains (−1, 2) and (4, 12) Line YZ contains points (5, 8) and (−2, −6). Lines WX and YZ are

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audreyburkett12 audreyburkett12 · Answer 1 · 2016-10-01T22:40:13+02:00

we have to find the slope of these lines using the slope formula
slope = (y2 - y1) / (x2 - x1)

Line WX :
(-1,2) x1 = -1 and y1 = 2
(4,12) x2 = 4 and y2 = 12
now sub into the slope formula
slope = (12 - 2) / (4 - (-1)
slope = 10/(4 + 1)
slope = 10/5 which reduces to 1/2
so the slope of line WX = 1/2

Line YZ :
(5,8) x1 = 5 and y1 = 8
(-2,-6) x2 = -2 and y2 = -6
now we sub into slope formula
slope = (-6-8) / (-2-5)
slope = -14/-7
slope = 1/2
so the slope in line YZ = 1/2

Line WX and line YZ are : (D) parallel because the slopes are the same.