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How can you tell if an equation represents a linear relationship?

Anonymous

∙ 13y ago

Updated: 11/4/2022

Neither the 'x' nor the 'y' component should have any exponents (squared, cubed, square root, etc.) and therefore it should be a one-to-one ratio (each 'x' has one 'y' value and vice versa).

Wiki User

∙ 13y ago

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Can you tell how a quadratic equation can become linear equation?

You can easily tell by substituting 0 for a.

How can you tell that an equation has the same solution as the original equation?

If the two equations are linear transformations of one another they have the same solution.

How can you tell a linear function from an equation?

An equation is a statement that two things are equal. A function is a rule or process that gives you a value if you give it something in its domain (the set of things on which it is defined) as an argument. Functions on numbers that are defined by a rule can usually be expressed by an equation. A linear function is one that can be defined by a linear equation.

How can you tell whether a linear function can be used to model a real life relationship?

You can create a scatter plot of the two variables. This may tell you if there is a relationship and, if so, whether or not it is linear. If there seems to be a linear relationship, you can carry out a linear regression. Note that the absence of a linear relationship does not mean that there is no relationship. The coordinates of the points on a circle do not show a linear relationship: the correlation coefficient is zero but there is a perfect and simple relationship between the abscissa and the ordinate. Even if there is evidence of a linear relationship, it may be valid only within the range of observations: do not extrapolate. For example, the increase in temperature of a body is linearly related to the amount of heat energy aded. However, for a solid, there will come a stage when the additional heat will not increase the temperature but will be used to melt (or sublimate) the solid. So the linear relationship will be broken.

How can you tell if an equation has at most one solution without solving it?

You can be certain if the equation is linear, that is, of the form ax + b = 0 where a and b are constants.

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Related Questions

How can you tell if an equation is a linear relationship?

If it is in a y=mx+b format. Also, if there is a slope and a constant in the equation.

Can you tell how a quadratic equation can become linear equation?

You can easily tell by substituting 0 for a.

How can the degree of the equation tell us if the equation is linear or not?

A linear equation always has a degree of one because the slope has to be constant to form a line. So, x + 7 is linear, 7 - x is linear, 4x - 3.7 is linear, but anything with x2 , etc. is not linear.

Is 4x2x a linear equation?

Difficult to tell because of problems with the browser. 4x = 2x IS a linear equation whose solution is x = 0

How do you tell whether the relationship between two variables is linear?

By definition, if you graph the relationship between two variables and the result is a straight line (of whatever slope) that is a linear relationship. If it is a curve, rather than a straight line, then it is not linear.

How can you tell that an equation has the same solution as the original equation?

If the two equations are linear transformations of one another they have the same solution.

How can you tell a linear function from an equation?

An equation is a statement that two things are equal. A function is a rule or process that gives you a value if you give it something in its domain (the set of things on which it is defined) as an argument. Functions on numbers that are defined by a rule can usually be expressed by an equation. A linear function is one that can be defined by a linear equation.

How do you tell if an eqution is a linear equation?

An equation (note spelling) is linear if it is made up exclusively of constants and of unknowns raised to the first power (e.g., 'z', as opposed to 'z^2')

How can you tell whether a linear function can be used to model a real life relationship?

You can create a scatter plot of the two variables. This may tell you if there is a relationship and, if so, whether or not it is linear. If there seems to be a linear relationship, you can carry out a linear regression. Note that the absence of a linear relationship does not mean that there is no relationship. The coordinates of the points on a circle do not show a linear relationship: the correlation coefficient is zero but there is a perfect and simple relationship between the abscissa and the ordinate. Even if there is evidence of a linear relationship, it may be valid only within the range of observations: do not extrapolate. For example, the increase in temperature of a body is linearly related to the amount of heat energy aded. However, for a solid, there will come a stage when the additional heat will not increase the temperature but will be used to melt (or sublimate) the solid. So the linear relationship will be broken.

How would you decide from an equation if the relationship was linear?

A linear equation is one in which there is an actual slope. In other words, if you graph it, it'll be a straight line. There are two ways of displaying a linear relationship: General form: Ax + By + C = 0; A B and C are all real numbers (though it is generally simplified so that they can all be expressed as integers.) Standard form: y = mx + b, where m and b are real numbers. This form is also called slope-intercept form. If you're given an equation where y = xn, where n isn't 1, then that would not be linear, since the graph is not a straight line, whereas y = x is linear. If y = x is graphed, then you'll see that it's a perfectly straight line. Since I rambled, I'll summarize: from the equation, you can tell if the relationship is linear if it can be expressed either as Ax + By + C = 0 or y = mx + b (A, B, C, m, b are all real numbers)

How can you tell if an equation has at most one solution without solving it?

You can be certain if the equation is linear, that is, of the form ax + b = 0 where a and b are constants.

What information does and equation tell you?

the relationship between variables and/or variables and values

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