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.
The slope of both lines will be the same.