SOLUTION: 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
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Question 92657: 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?
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
perpendicular lines have slopes that are negative reciprocals, so the slope of line 1 is -1/(-4) or 1/4
it passes through the origin so the equation is y=x/4 ... substituting gives t+1=t/4 ... 4t+4=t ... 3t=-4 ... t=-4/3
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