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Name: Date: Period: Algebra 1Assignment 12: Slope from Two Points and Tables Directions: Find the slope of the line that passes through each pair of points. Simplify all answers, and leave answers.

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  2. Begin filling out the form by entering your name in the designated field at the top. This helps to identify your work.
  3. Enter today’s date in the provided field. This denotes when the assignment is completed.
  4. Specify your class period in the corresponding section to allow for proper record-keeping.
  5. For question one, calculate the slope using the points (4, 3) and (8, 6) by applying the slope formula. Fill in the 'Slope' field with your simplified answer as a fraction, if applicable.
  6. Continue this process for each set of points listed in the assignment. Remember to simplify your slope as needed and leave answers in fraction form.
  7. After completing the slope calculations for all pairs, double-check your work for accuracy.
  8. Review the sections that require the rate of change and fill them out using the formulas provided within the document.
  9. At the bottom of the form, once all questions have been answered and reviewed, you can choose to save your changes, download a copy, print, or share the completed form as needed.

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0:30 18:32 Finding The Slope Given 2 Points - Tons of Examples! - YouTube YouTube Start of suggested clip End of suggested clip X2 is 6 x1 is 2. 13 minus 5 that's equal to 8. And 6 minus 2 that's equal to four now we gottaMoreX2 is 6 x1 is 2. 13 minus 5 that's equal to 8. And 6 minus 2 that's equal to four now we gotta reduce. It eight divided by four is equal to two. So this is the slope. Between these two points.

2:04 3:00 EQUATION FOR SLOPE OF TWO POINTS - YouTube YouTube Start of suggested clip End of suggested clip For the different parts y2 is 6 Y 1 is negative 5 so let's substitute those in 6. Minus negative 5MoreFor the different parts y2 is 6 Y 1 is negative 5 so let's substitute those in 6. Minus negative 5 all divided by X 2 is 8 and X 1 is 4 8. Minus 4 we simplify the top to be 6.

To find the rate of change in a table, the same process applies: Find the coordinates of the given points. It's optional to label them. Find the difference between the output values. Find the difference between the input values. Calculate the ratio between the change in y to the change in x: ΔyΔx.

Using the Slope Equation Pick two points on the line and determine their coordinates. Determine the difference in y-coordinates of these two points (rise). Determine the difference in x-coordinates for these two points (run). Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).

The slope of the line passing through the points (-2, 5) and (1, 4) is m = -1/3.

0:18 18:32 Finding The Slope Given 2 Points - Tons of Examples! - YouTube YouTube Start of suggested clip End of suggested clip X2 is 6 x1 is 2. 13 minus 5 that's equal to 8. And 6 minus 2 that's equal to four now we gottaMoreX2 is 6 x1 is 2. 13 minus 5 that's equal to 8. And 6 minus 2 that's equal to four now we gotta reduce. It eight divided by four is equal to two. So this is the slope. Between these two points.

1:14 6:35 Slope from a Table - YouTube YouTube Start of suggested clip End of suggested clip So what is my change in Y. My. Change in Y is a positive 3. Now let's look for our change in X well.MoreSo what is my change in Y. My. Change in Y is a positive 3. Now let's look for our change in X well. What's happening what I move from 2 to 4. I'm increasing by 2 what happens when I move from 4 to 6.

1:14 6:35 Slope from a Table - YouTube YouTube Start of suggested clip End of suggested clip So what is my change in Y. My. Change in Y is a positive 3. Now let's look for our change in X well.MoreSo what is my change in Y. My. Change in Y is a positive 3. Now let's look for our change in X well. What's happening what I move from 2 to 4. I'm increasing by 2 what happens when I move from 4 to 6.

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