<p>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?</p>
<p>a. -4/3 b. -5/4 c. 3/4 d. 5/4 e. 4/3</p>
<p>Thanks!</p>
<p>line L contains the points (0,0) since it passes through the origin. ALso it contains (t,t+1) because it intersects the line y=-4x+k at the point. since line l is perpendicular too the line y=-4x+k, the slope of L is the neg reciprocal, or 1/4.</p>
<p>therefore, you just set the slope (1/4) equal to the differnce in y (-t-1) over the difference in x(-t) solving yields A. -4/3.</p>