If line K in the xy-plane has equation y= mx+b, where m and b are constant .what is the slope of line K.
1)K is parallel to the line with equation y=(1-m)x+b+1.
2)K intersect the line with equation y=2x+3 at the point (2,7).
co-ordinate geometry .
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- Md.Nazrul Islam
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We have to find the value of m.Md.Nazrul Islam wrote:If line K in the xy-plane has equation y= mx+b, where m and b are constant .what is the slope of line K.
1)K is parallel to the line with equation y=(1-m)x+b+1.
2)K intersect the line with equation y=2x+3 at the point (2,7).
(1) K is parallel to the line with equation y = (1 - m)x + (b + 1) implies slope of line K = (1 - m) as parallel lines have same slope.
So, m = 1 - m
2m = 1
m = 1/2; SUFFICIENT.
(2) K intersect the line with equation y = 2x + 3 at the point (2, 7) means (2, 7) lies on y = mx + b.
So, (2, 7) on y = mx + b implies 7 = 2m + b but we cannot find m from here; NOT sufficient.
The correct answer is A.
Anurag Mairal, Ph.D., MBA
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