You can easily tell by substituting 0 for a.
If the two equations are linear transformations of one another they have the same solution.
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.
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.
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)
If it is in a y=mx+b format. Also, if there is a slope and a constant in the equation.
You can easily tell by substituting 0 for a.
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.
Difficult to tell because of problems with the browser. 4x = 2x IS a linear equation whose solution is x = 0
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.
If the two equations are linear transformations of one another they have the same solution.
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.
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')
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.
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)
You can be certain if the equation is linear, that is, of the form ax + b = 0 where a and b are constants.
the relationship between variables and/or variables and values