equations of lines etc

[guitarkid583]

In the xy-plane, line L passes through the origin and is perpendicular to the line
4x + y= k, where k is a constant. If the two lines intersect at the point (t, t+1), what is the value of t?

I have no idea where to even begin on this one.


Thanks guys

 

[stapel]

Find the slope of the given line.

From this, compute the slope of the perpendicular line.

Use the point (the origin) with the slope you just found to find the equation of the perpendicular line.

Find the point (in terms of k) where the two lines intersect. Set this equal to "(t, t + 1)".

Equate the x- and y-coordinates of the points to obtain two equations in t and k.

Solve the system for the value of t.

If you get stuck, please reply showing how far you have gotten in working through these steps. Thank you.

Eliz.