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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