can someone give me suggestions i am learning how to graph linear equations with two variables. What are two methods of graphing lines? That include order pairs, axes,slope, and intercepts. Can some help me when you get a few minutes i'll appreciate it....
thanks a million
Since this is not my area of expertise, I searched Google under the key words "graphing linear equations" to get these possible sources:
http://www.math.com/school/subject2/lessons/S2U4L3GL.html
http://www.purplemath.com/modules/graphlin.htm
http://www.wtamu.edu/academic/anns/mps/math/mathlab/beg_algebra/beg_alg_tut21_graph.htm
http://library.thinkquest.org/10030/6gleai.htm
(Broken Link Removed)
I hope this helps. Thanks for asking.
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Of course! I'd be happy to help you with graphing linear equations with two variables.
There are two main methods of graphing lines that involve ordered pairs, axes, slope, and intercepts: the slope-intercept form and the standard form.
1. Slope-Intercept Form: The slope-intercept form of a linear equation is given by y = mx + b, where m represents the slope of the line and b represents the y-intercept, the point where the line crosses the y-axis.
To graph a line using this method, follow these steps:
a) Identify the slope (m) and the y-intercept (b) from the given equation.
b) Start at the y-intercept (0, b) and plot the point.
c) Use the slope to find a second point on the line. The slope represents the change in y divided by the change in x (rise over run). For example, if the slope is 2/3, move 2 units up and 3 units to the right from the y-intercept, and plot the second point.
d) Draw a straight line passing through the two points to complete the graph of the line.
2. Standard Form: The standard form of a linear equation is given by Ax + By = C, where A, B, and C are constants.
To graph a line using this method, follow these steps:
a) Rearrange the equation into slope-intercept form (y = mx + b) or solve for y.
b) Identify the slope (m) and y-intercept (b) from the rearranged equation.
c) Start at the y-intercept (0, b) and plot the point.
d) Use the slope to find a second point on the line, following the same steps as in the slope-intercept form method.
e) Draw a straight line passing through the two points to complete the graph of the line.
You can practice these methods of graphing lines using examples from the sources I found for you:
- Math.com: http://www.math.com/school/subject2/lessons/S2U4L3GL.html
- Purplemath: http://www.purplemath.com/modules/graphlin.htm
- West Texas A&M University: http://www.wtamu.edu/academic/anns/mps/math/mathlab/beg_algebra/beg_alg_tut21_graph.htm
- ThinkQuest: http://library.thinkquest.org/10030/6gleai.htm (This link may be broken, so you may need to search for an alternative source.)
I hope this information and the provided sources help you in learning how to graph linear equations with two variables. Don't hesitate to ask if you have any further questions!