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The graph of a linear proportion will be a straight line passing through the origin. The equation will have the form y = mx, also written as y = kx.

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Do linear graphs represent proportional relationships?

Do all linear graphs have proportional relationship


How do you know if a linear relationship is proportional or not?

A linear relationship is proportional if it passes through the origin (0,0) and can be expressed in the form (y = kx), where (k) is a constant. To determine if a linear relationship is proportional, check if the ratio of (y) to (x) remains constant for all values. If the relationship has a y-intercept other than zero (e.g., (y = mx + b) with (b \neq 0)), it is not proportional.


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.


What is Linear and Non-Linear Relationships?

A linear relationship means that the slope of the line is proportional, which means that the line is straight. In contrast to the linear realtionship, the non-linear relationship's slope is not proportional and the line will curved and not straight. Formula of calculating the slope is the difference of y divided by the difference of x.


What is required of a proportional relationship that is not required of a general linear relationship?

In a proportional relationship, the ratio between the two variables is constant, meaning that if one variable changes, the other changes in a consistent way, maintaining the same ratio. This results in a straight line that passes through the origin (0,0) on a graph. In contrast, a general linear relationship can have varying slopes and may not pass through the origin, allowing for a y-intercept that is not zero. Thus, while all proportional relationships are linear, not all linear relationships are proportional.


How can you decide whether a relationship is linear by studying the words used to describe a variable?

Words such as "proportional to" "increases as" "decreases as", usually give an indication of a linear relation. If there are words like "Square" "power" "inversely proportional" then most likely not linear.


What is a linear decreasing relationship that is not direct?

it is a math question bang bang


Does every linear realtionship is a variation?

Not every linear relationship is a variation, but every variation is a type of linear relationship. A linear relationship describes a consistent change, often represented by a straight line, while variation specifically refers to a proportional relationship, such as direct or inverse variation. In direct variation, one variable is a constant multiple of another, while in inverse variation, one variable is inversely proportional to another. Thus, while all variations are linear, not all linear relationships imply a strict variation.


How can you decide whether a relationship is linear by studying the words to describe the variables?

To determine if a relationship is linear by examining the words used to describe the variables, look for terms that imply a consistent, proportional change between them, such as "increase," "decrease," or "constant rate." Phrases like "directly proportional" or "linear relationship" suggest a linear connection. Conversely, words indicating variability or non-constant rates, such as "exponential," "quadratic," or "curvilinear," suggest a non-linear relationship. Ultimately, the language used can provide insights into the nature of the relationship.


Are all Linear functions proportional?

Not all linear functions are proportional. A linear function can be expressed in the form ( y = mx + b ), where ( m ) is the slope and ( b ) is the y-intercept. If ( b = 0 ), the function is proportional, as it passes through the origin and maintains a constant ratio between ( x ) and ( y ). However, if ( b ) is not zero, the function does not maintain this proportional relationship.


What is the difference between linear and non linear scales?

A linear scale is a scale with equal divisions for equal vales, for example a ruler. A non linear scale is where the relationship between the variables is not directly proportional.


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