Y = mx + b
No exponent on the x variable is one very telling sign that this is a line.
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You know if an equation is linear if it is a straight line. You can also know if the equation is y = mx + b where there are no absolute values nor exponents.
Linear means referring to a line, so a line must be linear! Every point on any line is a solution to the equation that defines the line.
Linear is a straight line and non linear could be a curve or anything but a straight line
Linear projection-a time line
Linear = Straight line! So, a graph of a linear relationship is a straight line.