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What else can I help you with?
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
What is the meaning of the slope of the line?
The slope of a line represents the rate of change between two variables on a graph. Specifically, it indicates how much the dependent variable changes for a unit change in the independent variable. A positive slope signifies a direct relationship, while a negative slope indicates an inverse relationship. The steeper the slope, the greater the rate of change.
Which line has a greater slope?
None of the ones in the question have any slope.
What does the slope of the trend line represent?
The slope of the trend line represents the rate of change between the two variables plotted on a graph. Specifically, it indicates how much the dependent variable changes for a one-unit increase in the independent variable. A positive slope suggests a direct relationship, while a negative slope indicates an inverse relationship. The steeper the slope, the greater the rate of change between the variables.
Which line has a greater slope y equals 3x or x equals 3y?
y equals 3x has the greater slope.
Is the inverse of a line with positive slope a line with negative slope?
Never.
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.
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
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.
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
What is the meaning of the slope of the line?
The slope of a line represents the rate of change between two variables on a graph. Specifically, it indicates how much the dependent variable changes for a unit change in the independent variable. A positive slope signifies a direct relationship, while a negative slope indicates an inverse relationship. The steeper the slope, the greater the rate of change.
What equation has a steeper line?
For a positive number, as the slope(y=mx+b where m is the slope) gets greater in value, the line gets steeper when plotted on a graph. For a negative number, as the slope(y=mx+b where m is the slope) gets greater in value, the line gets less steep when plotted on a graph.
Without graphing how can you tell which slope is steeper?
For a positive number, as the slope(y=mx+b where m is the slope) gets greater in value, the line gets steeper when plotted on a graph. For a negative number, as the slope(y=mx+b where m is the slope) gets greater in value, the line gets less steep when plotted on a graph.
Which line has a greater slope?
None of the ones in the question have any slope.
What are the effect of slope?
The slope of a line represents the rate of change between two variables. A positive slope indicates a direct relationship, where one variable increases as the other increases. A negative slope indicates an inverse relationship, where one variable decreases as the other increases. The steeper the slope, the greater the rate of change between the variables.
What does the slope of the trend line represent?
The slope of the trend line represents the rate of change between the two variables plotted on a graph. Specifically, it indicates how much the dependent variable changes for a one-unit increase in the independent variable. A positive slope suggests a direct relationship, while a negative slope indicates an inverse relationship. The steeper the slope, the greater the rate of change between the variables.
Which formula is correct for the slopes of perpendicular lines?
if slope is given as m then perpendicular slope is -1/m (negative inverse)
