Question 6.10.3: Graphing a Linear Function Graph f(x) = -2x + 3 by using the......

A Survey of Mathematics with Applications [1175400]

Graphing a Linear Function

Graph f(x) = -2x + 3 by using the slope and y-intercept.

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Since f(x) means the same as y, we can rewrite this function as y = -2x + 3. From Section 6.6, we know that the slope is -2 and the y-intercept is (0, 3). Plot (0, 3) on the y-axis. Then plot the next point by moving down 2 units and to the right 1 unit (see Fig. 6.44). A third point has been plotted in the same way.

The graph of f(x) = -2x + 3 is the line drawn through these three points.

6.44

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