SOLUTION: The line y = x/2 makes an angle w with the positive x-axis. The line y = mx makes an angle 2w with the positive x-axos. Compute m. Should be solved without the use of a calculator.

Question 1177383: The line y = x/2 makes an angle w with the positive x-axis. The line y = mx makes an angle 2w with the positive x-axos. Compute m. Should be solved without the use of a calculator.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

The line has the slope of or .

Hence, the angle is such that , i.e. .
most important in solving this problem is the fact that the slope is the tangent of the angle

Then

Thus .

RELATED QUESTIONS
The line y=x/2 makes an angle w with the positive x-axis. The line y=mx makes an angle 2w (answered by ikleyn)

The line y=x/2 makes an angle w with the positive x-axis. The line y = mx makes an angle... (answered by math_helper)

A straight line makes an angle of 30 degree with the positive x axis and cuts the y axis... (answered by Alan3354)

Find the equation of the line passing through (3,5) that makes an angle of 45(degrees)... (answered by KMST)

The line y=12/5x passes through the origin in the x , y -plane. What is the... (answered by ikleyn)

For the line 3x+2y-5=0, find the obtuse angle the line that makes with the positive... (answered by Alan3354,Boreal)

For the line 3x+2y-5=0, find the obtuse angle the line that makes with the positive... (answered by Alan3354)

I need to decide if the statements Are: Always True Always False Sometimes True... (answered by Alan3354)

Decide whether the statements are: Always True Always False Sometimes True A: If... (answered by Alan3354)