How can you tell an equation is linear?

Example: \( 22x - 14y = 65 \)

Hello,
The degree of a function highest exponent of the dependent variable, then we first isolate "y":
22 x − 14 y = 65 22 x − 65 = 14 y y = 14 22 ​ x − 14 65 ​ y = 7 11 ​ x − 14 65 ​
In this case the highest exponent is 1. Functions whose highest exponent is 1, are called LINEAR FUNCTIONS OR LINEAR AQUATIONS

Answered by Illuminati750 | 2024-06-10

An equation is linear if it can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept. To confirm this, check that the highest exponent of the variable(s) is 1 and rearrange the equation, if necessary. A linear equation will graph as a straight line and will not contain exponents greater than 1 or products of variables.
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Answered by Illuminati750 | 2024-12-26