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How can you tell if a graph has a direct relationship and an inverse relationship?
If the graph shows a direct relationship, then the line will go up. If it shows an inverse relationship, the line will go down. A direct relationship means that as one variable increases, so does the other. On a graph, this means that as we move out along one axis, we also move out along the other. An inverse relationship means that as one variable increases, the other one decreases. So, for example, as we move to the right (X increasing), we have to move down (Y decreasing).
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.
How can you know if a graph represents a proportional relationship?
It is a relationship of direct proportion if and only if the graph is a straight line which passes through the origin. It is an inverse proportional relationship if the graph is a rectangular hyperbola. A typical example of an inverse proportions is the relationship between speed and the time taken for a journey.
What is a line relationship?
A line relationship shows how much power each person has in order -normally a list- eg. boss at top
If a graph of distance versus time is a straight line the graph shows what relationship?
it is a positive relationship
What is the equation that shows the relationship among certain quantities?
The answer depends on the quantities and the nature of the relationship. It can be a line-of-best-fit (or regression line), or a formula.
Type of graph that shows the relationship between two variables?
Line
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!
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
Can a best fit line be inverse?
Yes, but not at the level of mathematics you are at. In elementary statistics, the line of best fit (if it exists) is always a straight line representing a linear relationship between two variables. The equation of the line is most often calculated using the least squares method. [This minimises the sum of the squares of the vertical differences between the values "predicted" by the line and those actually recorded. The process always leads to a straight line. However, in more advanced statistics, you will learn about transformations. If the relationship between two variables, X and Y, is an inverse relationship, then the relationship between 1/X and Y is linear and you can fit a linear best fit line to the data set given by 1/X and Y. This can then be used to calculate the best fit inverse curve.
When there is a curved line on a graph what type of relationship there is between the dependent variable and the independent variable?
Well, it's a non-linear relationship. It could be inverse, or quadratic, or many other things.
