It is searching [for something] in a straight line.
Perhaps you mean linear extrapolation? That is when the extrapolation assumes that the function is a straight line.
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The term "linear line" is redundant; lines are necessarily linear, since linear means in the form of a line.
A system of linear equations is two or more simultaneous linear equations. In mathematics, a system of linear equations (or linear system) is a collection of linear equations involving the same set of variables.
No a linear equation are not the same as a linear function. The linear function is written as Ax+By=C. The linear equation is f{x}=m+b.
linear (A+)
Linear