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If a proportional relationship is graphed on the coordinate plane, what things must be true?
What else can I help you with?
How can you identify a proportional linear relationship?
When either of the two variables is zero, the other must be zero. Also, every increase in one variable by some fixed amount must be accompanied by an increase in the other by the same amount each time. The two sets of increases may be different, though.Alternatively, the graph of the two variables must be a straight line in the first quadrant and must pass through the origin.
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.
What is graphing proportions?
Graphing proportions is to take two ratios and plot them on an (x,y) coordinate plane. You need to be consistent with your labeling. If you use the numerator of one ratio as your x coordinate, then the numerator of the other ratio must be the 2nd x coordinate. You can graph as many of these points as are given. If your ratio's are proportional then you will have a straight line. If it is not a straight line when graphed your ratios are not proportional.
How can you tell by examining a graph if a line represents a direct variation?
The graph must be linear and pass thru the origin
What must the axes on a graph include?
Units of measurement, Titles.
How do you know the relationship between x and y is proportional?
The answer depends on how the information is presented. If in the form of a graph, it must be a straight line through the origin. If in the form of an equation, it must be of the form y = cx.
What are necessary components for a graph of a proportional relationship?
Oh, what a lovely question! To create a graph of a proportional relationship, you'll need two important components: the x and y axes. The x-axis represents the independent variable, like time or distance, while the y-axis represents the dependent variable, such as speed or cost. By plotting points where the values are directly proportional, you can connect them with a straight line that passes through the origin. Happy graphing!
How can you decide whether a relationship is linear by studying the pattern in a graph?
The graph must be a straight line, and it must pass through the origin.
What criteria must be met in order for a function to be considered linear?
A function is considered linear if it follows the rule of proportionality, meaning that the relationship between the input and output values is constant and can be represented by a straight line on a graph.
How can you identify a proportional linear relationship?
When either of the two variables is zero, the other must be zero. Also, every increase in one variable by some fixed amount must be accompanied by an increase in the other by the same amount each time. The two sets of increases may be different, though.Alternatively, the graph of the two variables must be a straight line in the first quadrant and must pass through the origin.
What criteria must be met for a relationship to be considered a function?
For a relationship to be considered a function, each input value must correspond to exactly one output value. This means that each input cannot have multiple outputs.
Is the equation y equals 16x plus 4 a proportional relationship?
No. A proportional relationship between "y" and "x" must be of the form:y = kx where "k" can be any constant. Thus, y = 16x would work perfectly. However, the additional "+4" makes it impossible to convert it to this form.
Plot the graph of force vs acceleration?
The graph of force vs acceleration typically shows a linear relationship as described by Newton's Second Law, which states that force is directly proportional to acceleration. As acceleration increases, the force required to achieve that acceleration also increases. The slope of the graph represents the mass of the object, with a steeper slope indicating a greater mass.
Why must the graph of a relationship run through the origin for it to be proportional?
You can write a proportionality (between "x" and "y") as: y = kx where x is some constant. For x = 0, y is also equal to zero, no matter what the value of k. Thus, the point (0, 0) - i.e., the origin - is part of the solution set.
What is the shape of graph for simple pendulum between L and T?
T = 2*pi*sqrt(l/g) where g is acceleration due to gravity. So T is proportional to sqrt(l).Since both must be positive, the graph of T against L is the shape of the positive square root function.T = 2*pi*sqrt(l/g) where g is acceleration due to gravity. So T is proportional to sqrt(l).Since both must be positive, the graph of T against L is the shape of the positive square root function.T = 2*pi*sqrt(l/g) where g is acceleration due to gravity. So T is proportional to sqrt(l).Since both must be positive, the graph of T against L is the shape of the positive square root function.T = 2*pi*sqrt(l/g) where g is acceleration due to gravity. So T is proportional to sqrt(l).Since both must be positive, the graph of T against L is the shape of the positive square root function.
The volume of a gas must increase?
To increase the volume of a gas, either the temperature must rise or the pressure must decrease, according to Boyle's Law and Charles's Law. This relationship is known as the ideal gas law, which states that the volume of a gas is directly proportional to its temperature and inversely proportional to its pressure.
What is the difference between proportional and non proportional relationship?
In mathematics, or physics, if one quantity is proportional to the other, that means that if one quantity increases by a certain factor, the other quantity increases by the same factor. For example, if"y" is proportional to "x", and "x" increases by a factor 10, then "y" must also increase by a factor 10. Any relationaship that does NOT follow this rule is NOT proportional.
