Final answer:
Use a graphing calculator or software to plot the line y = 1/2 (x+4) - 3 by first calculating points to plot. Enter the equation into the technology, adjust the view, and if graphing by hand, connect the plotted points with a straight line.
Step-by-step explanation:
To graph the line y = 1/2 (x+4) - 3, you can use a graphing calculator or graphing software. First, let's find some points to plot on the graph. By substituting different values of x into the equation, we calculate the respective y values. For example, if x = 0, then y = 1/2 * (0+4) - 3 = 2 - 3 = -1, giving us the point (0, -1).
After calculating a few points, you can enter the equation into the graphing technology. For a graphing calculator, like the TI-84, you would press the Y= key, type in the equation into Y1, and then use the graphing feature to display the line on the graphing screen. You can press ZOOM 9 to adjust the view to a standard graph screen. This process is similar to entering another equation, such as -173.5 + 4.83X, as described in the reference information.
To graph by hand, plot the calculated points on graph paper and draw a straight line through them. This is a linear equation, and as such, the line will have a constant slope and can be easily drawn by connecting two points, ideally spaced far apart to minimize errors in the line's slope and position.