For each linear equation the procedure is the same:
Suppose the equation is y = mx + c where x and y are the two variables and m and c are two constants.
Set x = 0 so that the equation becomes y = c. Mark the point P = (0, c) on the coordinate plane.
Set y = 0 so the equation becomes 0 = mx + c so that x = -c/m. Mark the point Q = (-m/c, 0) on the plane.
Join PQ with a straight line and extend in both directions.
You may wish to select another value of x (or y), substitute into the equation and solve. This will give the coordinates of a third point, R. The only reason for doing this is that if R is not on the line PQ then you know you have made a mistake.
Repeat for other equations.
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The answer will depend on the variables plotted on the graph!
Yes, the graph of a linear equation can be a line. There are special cases, sometimes trivial ones like y=y or x=x which are linear equations, but the graph is the entire xy plane. The point being, linear equations most often from a line, but there are cases where they do not.
That there is a linear relationship between the dependent and independent variables
straight line