We use many different techniques to graph lines, but one of the most efficient and straightforward, when given the equation of the line, is graphing lines using intercepts. If we are not given a table of values, the easiest two points to find are usually the x- and y-intercepts. Graphing lines using intercepts is not the only method, we can also graph using the slope and the y-intercept.
Whenever you're asked to graph a line, you have a choice of what method you want to use.
Some people like to graph lines by making an X-Y table. That's where you choose X values, substitute them in one by one and find the corresponding Y values. Use those as points and connect them.
Another method you guys might like to use is the slope intercept method. That's where you put your equation into Y equals MX plus B form. Your first doc was at B that's at the Y intercept. From there you count your slope and make another point and you connect them. Be sure to use a ruler.
The method I really want you guys to practice a little bit more and what you're going to see in your homework is this method 3. Finding and connecting the X and Y intercepts.
The way to find X intercept is to substitute Y equals 0. The way to find the Y intercept is to substitute in X equals 0. It doesn't matter what form the equation is in when you start doing that process.
What you're going to end up with is two different points on the two different axes and all you need to do is connect them using a ruler.
So if you guys get used to using all three of these methods you'll get better at being able to tell which method is the best and the most efficient for any given problem.
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