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MATHEMATICS

JAMB 2016 - Question 11

Mathematics 2016 JAMB Past Questions - Question 11: If line p=5x+3 is parallel to line p=wx+5,find the value of w.

If line p=5x+3 is parallel to line p=wx+5,find the value of w.

A: 7

B: 3

C: 6

D: 5

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Correct Answer

Explanation

if line P = 5x + 3 is paralled to line P = Wx +5, then the two lines have equal gradient,i.e. W = 5 (condition for parallel).Two lines are parallel if they have the same slope. The slope-intercept form of a line is y = mx + c, where m is the slope.For the line p = 5x + 3, the slope is 5.For the line p = wx + 5, the slope is w.Since the lines are parallel, the slopes are equal. Therefore, we have:5 = wSo, the value of w is 5.