Graphing A Linear Function: The Slope-Intercept Form Of An Equation.

y = x – 3

What is the rule for the function?

The given equation is in the slope-intercept form, which is y = mx + b. Here, m represents the slope and b represents the y-intercept. In this equation, the slope is 1, which means that for every unit increase in x, y will increase by 1. The y-intercept is -3, which means that the point (0, -3) lies on the graph of this line.

To graph the line, we can start by plotting the y-intercept at (0, -3). Then, we can use the slope to find some other points on the line. For instance, if we increase x by 1, then y will increase by 1 as well. This gives us the point (1, -2). Similarly, if we decrease x by 1, then y will decrease by 1 as well. This gives us the point (-1, -4).

We can continue this process to find more points on the line, or we can simply connect the points we already have with a straight line. The resulting line will be a diagonal line that passes through the point (0, -3) with a slope of 1.

It’s worth noting that this equation represents a linear function, which means that its graph will always be a straight line. Additionally, the slope of this line is positive, which means that the line is increasing as we move from left to right.

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