To find the inverse of the slope of a line, first identify the slope, denoted as ( m ). The inverse of the slope is simply ( \frac{1}{m} ). This represents the slope of a line that would be perpendicular to the original line if it intersects at a right angle. Ensure that ( m ) is not zero, as the inverse of zero is undefined.
A line does not have an inverse!
Since the inverse of a function is it's reflection over the line x=y, which has a slope of 1. The only way a function can be It'a own inverse is if it is a liner function whose slope is perpendicular to the line. Since a perpendicular line is any line with the negative recoprocal of the slope, any linear function whose slope is -1 will be it's own inverse. - stefanie math 7-12 teacher
The slope of an inverse relationship
The slope a graph's line is both a qualitative and quantitative indicator. Based on slope inverse, direct, or null relationships can be observed and even quantified through algebraic expressions. The elementary formula for the slope of a line is rise divided by run or (Y2-Y1)/(X2-X1).
the slope of a line = the Change in Y divided by the Change in X
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.
A line does not have an inverse!
Never.
If a line has a slope m then a line perpendicular to it has a slope -1/m ( negative inverse). For example if a line has slope positive 2, its perpendicular has slope -1/2
A direct relationship if the slope of the line is positive. An inverse relationship if the slope of the line is negative.
Since the inverse of a function is it's reflection over the line x=y, which has a slope of 1. The only way a function can be It'a own inverse is if it is a liner function whose slope is perpendicular to the line. Since a perpendicular line is any line with the negative recoprocal of the slope, any linear function whose slope is -1 will be it's own inverse. - stefanie math 7-12 teacher
The slope of an inverse relationship
if slope is given as m then perpendicular slope is -1/m (negative inverse)
If the slope of a line is m then the slope of an altitude to that line is -1/m.
The slope a graph's line is both a qualitative and quantitative indicator. Based on slope inverse, direct, or null relationships can be observed and even quantified through algebraic expressions. The elementary formula for the slope of a line is rise divided by run or (Y2-Y1)/(X2-X1).
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.
Why do we need to find the slope of a line? The slope of a line tells us how something changes over time. If we find the slope we can find the rate of change over that period.Why do we need to find the slope of a line?The slope of a line tells us how something changes over time. If we find the slope we can find the rate of change over that period. - See more at: http://www.algebra-class.com/rate-of-change.html#sthash.KmE8ACMR.dpuf