KocharRohit wrote:

If Line k in the xy-plane has equation y = mx + b, where m and b are constants, what is the slope of k?

(1) k is parallel to the line with equation y = (1-m)x + b +1.

(2) k intersects the line with equation y = 2x + 3 at the point (2, 7)

I think it is A...

from 1st ..since two lines are parallel....

m = 1- m

m =1/2

from 2nd line passes through 2,3

3 = 2 m + b..can't say ..

So answer should be A...throw some lights...

Regards,

Rohit

Given a line k equation of which is y = mx+b , m and b are constants.

DS : Slope m

Statement 1: k is parallel to the line with equation y = (1-m)x + b +1.

So slope of both lines are equal. i.e. m = 1-m -> m =1/2

SUFFICIENT

Statement 2: k intersects the line with equation y = 2x + 3 at the point (2, 7)

So, (2,7 ) lies on the line y = mx+b

-> 7 = 2m+b

But from this we can't find m as there are two variable and we are not able to figure out any other way to find m.

NOT SUFFICIENT

Answer A
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