Week 4 Discussion.docx - Initial Post Instructions Before we begin graphing systems of equations a good starting point is to review our knowledge of 2-D

# Week 4 Discussion.docx - Initial Post Instructions Before...

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Initial Post Instructions Before we begin graphing systems of equations, a good starting point is to review our knowledge of 2-D graphs. These graphs are known as 2-D because they have two axes. Find an online image of a graph to use as the foundation of your discussion. (This is easily accomplished by searching within Google Images.) Using your graph as the example: 1. Select any two points on the graph and apply the slope formula, interpreting the result as a rate of change (units of measurement required); and 2. Use rate of change (slope) to explain why your graph is linear (constant slope) or not linear (changing slopes). Embed the graph into the post by copying and pasting into the discussion. You must cite the source of the image. Also, be sure to show the computations used to determine slope. Post Hello class,
The two points would be (1, 5), (2, 7). The slope formula is m= y2-y1/x2-x1. If you plug in the two points it would look like m=(7-5)/(2-1)=2. This means for every second, we are moving 2 meters. The equation of this line is y=2x+3. The slope is linear because when I plug in any value for x, the equation is true as it yields the right value for y. For example, when plugging in x=3 for the point (3, 9), we get 9=2(3)+3=6+3=9. The equation is satisfied when we plug (3, 9), therefore the slope is linear. Source: /slope/MeaningOfGraphs.htm