Write the equation of the line in the standrad form: y = mx + c
The slope of this line is m
The inverse of the slope is then 1/m.
Note, that for a line perpendicular to the first, you need the negative inverse, not just the inverse. And the negative inverse of m is -1/m.
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Parallel lines have the same slope. So if you know the slope of a line in question, or you can calculate it, then you know the slope of any line parallel to that line.
you look at the line and see if there are any direct points on the line the slope formula
The slope of two lines are perpendicular only if their slopes multiplied together equal -1 (m1*m2 = -1). So if a line has a slope of -3 then a line perpendicular to this one has a slope of -1/-3 or 1/3.
If two nonvertical lines are perpendicular, then the product of their slope is -1.An equivalent way of stating this relationship is to say that one line is perpendicular to another line if its slope is the negative reciprocal of the slope of the other. For example, if a line has slope 3, any line having slope - 1/3 is perpendicular to it. Similarly, if a line has slope - 4/5, any line having the slope 5/4 is perpendicular to it.