Graphing a Line Given a Point and the Slope
To graph a line when given a specific point on the line and its slope, apply the point-and-slope procedure. First, plot the given coordinate point on the graph. Second, utilize the slope formula to determine the exact vertical rise and horizontal run. Third, from the starting point, count out the identified rise and run to pinpoint a second coordinate on the line. Finally, draw a straight line connecting the two plotted points. This sequential process reliably constructs the line because the slope mathematically dictates the precise vertical and horizontal steps required to navigate from any established point to another point on that identical line.
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