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Why linear equation is used?
Because it fits the data. That's an extremely vague answer, but it was an extremely vague question.
When does it make sense to chose a linear function to model a set of data?
If a linear model accurately reflects the measured data, then the linear model makes it easy to predict what outcomes will occur given any input within the range for which the model is valid. I chose the word valid, because many physical occurences may only be linear within a certain range. Consider applying force to stretch a spring. Within a certain distance, the spring will move a linear distance proportional to the force applied. Outside that range, the relationship is no longer linear, so we restrict our model to the range where it does work.
Is the equation 3s equals 2t linear or nonlinear?
A linear equation has no higher powers than 1. This is linear.
When does an equation graph a line?
When it is a linear equation.
What is the name of an equation of a line?
It is a linear equation.
