(Solution) Math114N Week 4 Discussion: Graphs

Required Resources

Read/review the following resources for this activity:

• OpenStax Textbook Readings
  
• Lesson in Canvas
• Assignments in Knewton
  • Graphing Linear Equations
  • Solving Systems of Linear Equations by Graphing
  • Solving Systems of Linear Equations by Substitution
  • Solving Systems of Linear Equations by Elimination

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.

Solution:

I found my graph on Lumenlearning.com and I choose this example because I wanted to analyze   what I assumed to be a nonlinear graph.  You can see this line hits multiple points on the graph that you can use to compute point slope form.  Point slope from allows you to interpret the slope, rate of change, and whether the slope is positive, negative, zero, or undefined.

On my graph, I chose the points (-4,-1) and (6,1). When calculating point slope form, I used the equation m=. You should order your selected points from left to right as they appear on the…Please click the icon below to purchase full answer at only $5