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Q: Is the inverse of a line with positive slope a line with negative slope?
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A straight line on a graph means there is a what relationship?

A direct relationship if the slope of the line is positive. An inverse relationship if the slope of the line is negative.


What is the relationship between slope and a perpendicular line?

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


How do you find the inverse of the slope of the line?

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.


Is a slope of a line always positive?

No because the slope of a line can be positive or negative


What is a line wxtending from the upper lift to the lower right has this type of slope?

The line has a negative slope (or negative gradient).When the angle between the line and the positive direction of Ox is obtuse then the slope is negative. Conversely, when the angle is acute, the slope is positive.


What does it mean for a line to have a negative slope?

If a line has a negative slope it is going 'down hill' and if it has a positive slope it is going 'up hill'


How do you know when the slope of a line is negative?

You know when the slope of a line is negative when m in the slope-intercept form equation y=mx+b is negative. For example, y=-3x+2 has a negative slope since m (which is -3 in this case) is negative. This is the same when finding a positive slope, because if m is positive, then the slope is positive.


What will happen to the slope of a line if the line is shifted so that the y intercept increases and the x intercept remains the same?

The answer depends on the signs of the original intercepts.x negative, y negative: negative slope becomes less negative and could go positive.x negative, y positive: positive slope becomes greater.x positive, y negative: positive slope becomes less positive and could go negative.x positive, y positive: negative slope becomes more negative.For 1 and 3, the slope changes sign when the y intercept crosses the origin.


Is the inverse of a line with the slope greater than one is a line with the slope less than one?

A line does not have an inverse!


Does a steep line have a negative slope?

This is unrelated. A steep line has a LARGE slope. The slope is positive if the line goes up from left to right; negative if it goes down from left to right.


Does Does a steep line have a negative slope?

This is unrelated. A steep line has a LARGE slope. The slope is positive if the line goes up from left to right; negative if it goes down from left to right.


When is the inverse of a itself a function?

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