4x +py +8=0
4x +4y+ 2=0
are parallel to each other
then find the value of p
Answers
Answered by
23
condition for getting parallel lines is
a1/a2=b1/b2 is not equal to c1/c2
so,
4/4=p/4
1=p/4
p=4
and 8/2=4 is not equal to a1/a2
therefore,
p=4
Answered by
4
The value of p is equal to 4.
Given that the two lines 4x +py +8 = 0 and 4x +4y+ 2=0 are parallel to each other. The value of slopes of both the lines will be equal .
We will compare the value of the slopes to find the value of p.
For the line 4x +py +8=0
slope = m1 = -4/p
For the line 4x +4y+ 2=0
slope = m2 = -1
For parallel lines , m1 = m2
=> -4/p = -1
=> p = 4
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