Find t where a line through the origin intersects 4x+y=k at (t, t+1)

[linhy]

in the xy-plan, line t 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?

What is t, and t+1?

I know that y= -4x +k
and perpendicular to that would be y=(1/4)x+k

but where should i go from there?

 

[Werg22]

The perpendicular is y = (1/4)x, not (1/4)x + k. Find the x solution for the intersection as a function of k i.e. x = x(k). Same with the y solution y = y(k). Then find what k satisfies y(k) - x(k) = 1. Then evaluate x(k) to get t.

 

[ice109]

this is a multiple choice, it would probably quicker to plug and chug depending on how fast you're to do that

 

[mathwonk]

this is an 8th grade or 9th grade question. sat's are not given until junior year.