Consider the line
Find the equation of the line that is parallel to this line and passes through the point
Find the equation of the line that is perpendicular to this line and passes through the point
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um ull haft to look it up caz theres a million ways
A: parallel lines have same slopes. the slope of given line is -5/3. thus the slope of line parallel to it is also -5/3.
now we have y=-5/3x+b.
substitute the given coordinate: 3=-5/3*6 + b
thus the equation is y=-5/3x+13
B: perpendicular lines have negative reciprocal slopes. the slope of given line is -5/3. thus the slope of line perpendicular to it is 3/5.
now we have y=3/5x+b
substitute given point: 3=3/5*6+b
thus the equation is y=3/5x-0.6