TopA function ‘f’ is a Linear Function if f(x) = ax + b , for real Numbers a and b. When a linear function is written in the form Ax + By = C, it is said to be in standard form. Any function f(x) can be called a linear Functions if we have f(x) = Ax + B.
Any linear function can be called as any algebraic function in which we only have the Combination of terms joined together with mathematical operators. Each term in a linear function is either a constant or a variable of power ‘1’ multiplied by any constant value. Any linear Function can be of one variable or of two variables. These linear functions can be expressed on x-y plane and it is drawn in the form of a line, when its graph is drawn. We observe that the standard form of linear function is Ax + By + C = 0, where the values of A and B are not equal to zero. The linear function is written such that A > = 0. Every time we draw the function on a graph paper a Straight Line is formed.
Let us take a linear function 5x + 3 = y, When we want to draw the linear function we take different values for x and for those values, the points of y are taken out as follows:
If x = 0, then 5 * 0 + 3 = y,
Or 0 + 3 = y, y = 3,
So we get the Point ( 0, 3 ),
If x = 1, then 5 * 1 + 3 = y,
5 + 3 = y, 8 = y,
So we get another point ( 1, 8 ),
We take another point of x = -1,
Then 5 * (-1) + 3 = y, Or -5 + 3 = y, -2 = y. In this way another point is ( -1 , -2 ).
These points are plotted on the graph paper and thus a line representing the linear function.