Not necessarily.
It depends on the graph "paper" used. For example, you can get semi-log graph paper in which the x-axis is normal but the y-axis has a logarithmic scale. This feature is available on Excel in "format axis".
On such a coordinate system, an exponential equation becomes a straight line.
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Those two statements are linear equations, not lines. If the equations are graphed, each one produces a straight line. The lines intersect at the point (-1, -2).
The differential equation of the family of straight lines y = mx is given by dy/dx = m. This equation represents that the slope of the line at any point is equal to the constant m. Different values of m will yield different lines within the family.
dy/dx = m
The graph, in the Cartesian plane, of a linear equation is a straight line. Conversely, a straight line in a Cartesian plane can be represented algebraically as a linear equation. They are the algebraic or geometric equivalents of the same thing.
It is a straight line equation that can be expressed as y = 1/3x+1