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 m
Let the Line M be y=m
So line L will be y=m
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.
Now we know the value of c but we still don't know the value of slope.
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
So the equations are y=0.5x
So the answer is C