Graphing Linear Function

Graphing Linear Function Graphing linear function involves graphing function with one and two variables. Linear functions are the functions having independent variable x never having power greater than 1. Linear function can be written in slope intercept form:f(x) = m x + b where x and y are the co-ordinates on the graph, m is the slope of the line and b is the y- intercept. Slope shows how steep the line is. Let us see some examples based on linear functions. Example 1:- Form linear function for the graph. Solution 1:-The linear function in the form f(x) = m x + b From the graph it is clearly seen that y- intercept =2 so b= 2. The slope of a line can be find by taking any 2 points on the line. Slope of line (m) = change in y axis / change in x axis. From the graph slope of a line = 0.5 Therefore the linear function f(x) = 0.5 x + 2 or y = 0.5 x + 2. Example 2:-Draw graph of linear function f(x) = y = 2x + 7 Solution2:-Assume values for x and use the function f(x) = 2 x + 7 to find values of y When x = 1 then the value of y = 2(1) + 7 = 9 When x = -2 then the value of y = 2(-2) + 7 = 3 When x = -1 then the value of y = 2(-1) + 7 = 5 Now plot x and corresponding y values in the graph Draw a straight line that passes through the points. From the above examples we can clearly understood graph of linear functions.