(1) Is the point (-4, 5)?
Any line parallel to 6x = 5y + 2 is of the form 6x = 5y + k. This passes through (-4, 5).
Therefore, 6(-4) = 5(5) + k. This gives k = -24 - 25 = -49.
The line is 6x = 5y - 49 or y = (6/5)x + (49/5).
(2) Any line perpendicular to 8x + y = 9 is of the form x - 8y = k. This passes through
(6, 7). Therefore, 6 - 8(7) = k. This gives k = 6 - 56 = -50.
The line is x - 8y = -50 or y = (1/8)x + (50/8).
(3) Any line perpendicular to 8x + 7y = 2 is of the form 7x - 8y = k. This passes through
(2, -3). Therefore, 7(2) - 8(-3) = k. This gives k = 14 + 24 = 38.
The line is 7x - 8y = 38 or y = (7/8)x + (-38/8).
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Masters Degree