Line k: (4, 2), (-4, 4)
slope mk = (4 - 2)/(-4 - 4) = 2/-8 = - 1/4
Line h: (-8, 1), (8, -3)
slope mh = (-3 - 1)/(8 - -8) = -4/16 = - 1/4
Since both lines have equal slopes, - 1/4, the lines are parallel.
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Any line that is not parallel to the given lines. The transversal that contains the shortest distance between the two parallel lines, is perpendicular to them.
If you mean: y = -x-3 passing through point of (-1, 3) Then the equation of the parallel line is: y =-x+2
This is called an ellipse.
Alternate interior angles are equal on a transversal that passes through parallel lines.
If you mean y = -65x-4 then the parallel equation is y = -65x-66