Question

Choose all that give the correct equation of the line parallel or perpendicular to the given line passing through the point. (20 POINTS!)

Answer 1

The correct statement are the first and the second
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The first statement:
y = (-2/3) x - (13/3)
slope = -2/3   and passing through (4,-7) because (-2/3) *4 - (13/3) = -7
the slope of the parallel line = -4/6 = -2/3
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The second statement
y = (-7/2) x - (5/2)
slope = -7/2  and passing through (-3,8) because (-7/2) *-3 - (5/2) = 8
the slope of the perpendicular line = 2/7
the multiplication of the two slopes = -7/2 * 2/7 = -1
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The third is false
because the lines are parallel not perpendicular

the fourth is false
because the lines are perpendicular not parallel