School and Work

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)?

The answer is -4/3, but I want to know how you get that. Thanks

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1.
Contains (5 , -4) parallel to y = - 1/3x + 4

2.
y-intercept = 3/2 perpendicular to the line 2x - y = 3

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