Finding perpendicular lines without graphing

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cokefree
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Could some tell me what's the other way you could find if lines are perpendicular, other than graphing. I know another way to do it, and its algebracaly, but there's another way you could do it algebracaly too.
 
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Find the slope for the two lines
Their product should be equal to -1 if the lines are perpendicular
 
Form a unit vector along each line, with components. Then do an inner product of the vectors to see if it's zero. Same work in a different dress.