In the previous three posts, we have learned about graph of linear functions in relations to its graph. We summarize these learnings in this posts.

The linear function has equation* y = ax + b* where *a* and *b* are real numbers. The number *a* is the slope of the graph of the function and the number *b* is the y-intercept. The sign of *a* determines the direction of the graph (click **here** for detailed explanation). If *a* > 0, the function is increasing and if *a* < 0 then the function is decreasing. If *a* = 0, the graph of the function is a horizontal line.

The value of *a* determines the steepness of the graph (click **here** for detailed explanation). As the absolute value of a increases, the graph becomes steeper. The value of b increases the value of the function by b if b > 0 and decreases the value of the function if b < 0 (click **here** for a detailed explanation). Graphically, this translates the function vertically — up of b > 0, down if b < 0.

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