##### Explain the slope of a line as a rate of change using points of the form (x, y).

Discussion

Please read through all sections before proceeding to the next page and refer back whenever necessary.

IntroductionStudy the following graph containing three lines labeled A, B, C. Consider what you learned about points, slopes, and lines in Module 2 and in the readings for this module week.

X and Y axis graph with lines labeled A, B, and C.

The first letter of your last name as it appears on the official roll determines which line you will use for your initial post. Each reply will be posted to initial posts made by peers on of the other lines.Last name A – N: will make an initial post on the line labeled A.Last name O – S: will make an initial post on the line labeled B.Last name T – Z: will make an initial post on the line labeled C.

Please proceed to the Initial Post section.

Initial PostFor your initial post, respond to the following prompts.

State any two reasonable points as ordered pairs for your assigned line. Since there are numerous solutions, no two posts are likely to be the same.Explain the slope of a line as a rate of change using points of the form (x, y).State the general slope formula using the equation editor.Use the formula showing all steps to compute the slope. Based on your computed result, explain your slope in words. Is this the answer you expected? Why or why not?Write the equation of your line showing any necessary steps.Submit your initial post to the discussion by the fourth day of the module week. You must make your initial post before you can see your classmates’ posts.

Please proceed to the Response Prompts section.

Response PromptsRead a selection of your classmates’ postings and reply to two who wrote an initial post on different lines (A, B, C) than you. Your replies should address all parts of the prompt. Note that once are complete, you should have worked with all three lines (A, B, C) in your three separate posts. Your replies should address all parts of the prompt and be completed by the seventh day of the module week.