Smita04 wrote:

Line m passes through the origin. Line l is parallel to line m. What are the equations of the two lines?

(1) The horizontal distance between the two lines is 5 units.

(2) Line l has a y-intercept of 2.5

Since the lines are parallel the slopes would be same, say

mLet the Line M be y=

mx

So line L will be y=

mx+c

Statement 1

Considering the horizontal distance on x axis , this distance can be taken towards +ve or -ve side of origin.

So the slopes of the lines and the value of c cannot be determined.

So insufficient.

Statement 2

Now we know the value of c but we still don't know the value of slope.

So insufficient.

From 1+2

We know that horizontal distance is 5 i.e x intercept and y intercept is 2.5 i.e c=2.5

Since the y intercept is +ve ,horizontal distance i.e x intercept is -ve.

So the line passes through (-5,0)

therefore using the equation we get

0=

m(-5)+2.5

or

m=1/2

So the equations are y=0.5x

and y=0.5x+2.5

So the answer is C