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What is proportional relationship in math terms?
Two variables are proportional to one another if there is a simple relationship, of the following form:The variables X and Y are indirect proportion if Y = c*Xandinverse proportion if Y = d/X or, equivalently, X*Y = dfor some non-zero constants c and d, called the constants of proportionality.Note that if Y is inversely proportional to X, then Y is directly proportional to the variable 1/XThe graph of a direct proportion is a straight line through the origin, with slope = constant of proportionality.
Does the graph represent a proportional or non-proportional liner relationship How do you know?
If the graph is a straight line through the origin, sloping upwards to the right, then it is a proportional linear relationship.
Are linear relationships proportional?
A relationship that occurs when variable quantities are directly proportional to one another. A linear relationship can be represented on a graph as a STRAIGHT LINE. Linear relationships always follow the formula: y=mx+b where y is the value of the y-coordinate, where my is the slope of the line, where x is the value of the x-coordinate, and b is the y-intercept
What is relationship among proportional relationships lines rates of change and slope?
The graph of a relationship in which two variables are in direct proportion is a straight line through the origin, whose slope = the rate of change = the constant of proportionality.
In a coordinate graph of two related variables when does it make sense to connect the points?
When the data on the graph is continuous,it does make sense to connect the points on the graph of 2 related variables.
How can you tell the difference between a graph in which one variable is directly proportional to another and a graph in which two variables vary inversely?
1. You can tell the difference because the proportional one has the same slope while the inversely one has opposite reciprocal slope.
When a graph shows two variables are directly proportion the slope will be?
If the two variables are directly proportional, then the slope can be any number,but the y-intercept has to be zero ... the line must go through the origin.
How can you tell if one variable is directly proportional to another variable?
One variable is directly proportional to another if increasing/decreasing the first variable increases/decreases the second variable by the same proportion. For example, consider the equation a = b x c. "a" is directly proportional to both "b" and "c". If you double "b" or "c" then "a" is also doubled etc...
How does a directly proportional graph look like?
In a directly proportional graph, the relationship between two variables is such that when one variable increases, the other variable also increases at a constant rate. This relationship is typically represented by a straight line that passes through the origin (0,0). The slope of this line is positive.
How do you tell if a graph is not proportional?
A graph is not proportional if the relationship between the two variables does not pass through the origin (0,0) or if it does not maintain a constant ratio between the two variables. In a proportional relationship, the line graphed will be straight and through the origin, indicating that as one variable increases, the other increases at a consistent rate. If the graph shows curvature or if the line is not straight, it indicates a non-proportional relationship.
What is directly and invertly related on a graph?
The x value and the y value are directly and invertly related on a graph. This only occurs in a specific type of graph called a proportional graph.
What are the two way to determine if the relationship between two quantities are proportional?
Graphical: If two variables are proportional, the graph of one of the variables against the other is a straight line through the origin.Algebraic: If the ratio of the two variables is a constant.
If a linear graph has a negative slope what can you say about the dependant variable?
You can say that the variables are inversely proportional.
Plot a of graph period T s against length l cm?
the graph is directly proportional
What is proportional relationship in math terms?
Two variables are proportional to one another if there is a simple relationship, of the following form:The variables X and Y are indirect proportion if Y = c*Xandinverse proportion if Y = d/X or, equivalently, X*Y = dfor some non-zero constants c and d, called the constants of proportionality.Note that if Y is inversely proportional to X, then Y is directly proportional to the variable 1/XThe graph of a direct proportion is a straight line through the origin, with slope = constant of proportionality.
Do all linear equations need to be proportional?
No.A directly proportional graph has an equation of the form y = mx. It always passes through the origin.A linear graph will have an equation in the from y = mx + c. This has a y-intercept at (0, c). It doesn't pass through the origin unless c = 0. The directly proportional graph is a special case of a linear graph.
How can you tell that y and x are NOT directly proportional?
Two variables, y and x, are not directly proportional if their ratio does not remain constant as the values change. This can be observed through a table of values, a graph, or by calculating the ratio of y to x at different points; if the ratio varies, then they are not directly proportional. Additionally, if the relationship can be described by a nonlinear equation, rather than a straight line through the origin, that indicates a lack of direct proportionality.
