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If two lines are perpendicular?
one slope is the negative reciprocal of the other
What kind of slopes do perpendicular slopes have?
Negative reciprocals. That is, if one line has slope m (m ≠0), then the perpendicular to it has slope -1/m. If m = 0, the slope of the perpendicular is not defined - the line is of the form x = k.
If there are two lines that are perpendicular and one of the two slopes is negative one third then what is the slope of the other line?
Positive 3
How do you know if two graphed lines are parallel or perpendicular?
if they are parallel they run side by side forever and will never cross. if they are perpendicular they will cross at a 90 degree angle. You can also tell just by looking at the equations for the lines if they are in the slope-intercept form (y = mx + b, where m is the slope and b is the y-intercept). When two lines are parallel, they have the same slope. When two lines are perpendicular, the slope of one is the negative reciprocal of the slope of other. For example, a line with a slope of 2 is perpendicular to a line with a slope of -½, and a line with a slope of 1 is perpendicular to a line with a slope of -1. (y = 1 and x = 1 are perpendicular because the slope of y = 1 is zero, the slope of x = 1 is infinity, the reciprocal of infinity is zero, and negative zero equals zero.)
Why product of slopes of perpendicular lines is -1?
Because one slope is positive while the other slope is a negative reciprocal of it. For example: 2*-1/2 = -1
