Question 1132261
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The given line is y = (6/5)x-4; its slope is (6/5).<br>
Parallel lines have the same slopes; perpendicular lines have slopes that are negative reciprocals.<br>
(a) Every line parallel to the given line has an equation of the general form y = (6/5)x+b.<br>
To find the equation of the line parallel to the given line through (-9,4), substitute x=-9 and y=4 in the general form and solve for b.<br>
(b) Every line perpendicular to the given line has an equation of the general form y = (-5/6)x+b.<br>
To find the equation of the line perpendicular to the given line through (-9,4), substitute x=-9 and y=4 in the general form and solve for b.