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How do identifying the rate of change and the initial value help you graph a linear relationship?

How do identifying the rate of change and the initial value help you graph a linear relationship?. In this lesson you will learn how to solve a problem involving a linear relationship by writing it in slope-intercept form. Slope: change in y per unit change in x.

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How do identifying the rate of change and the initial value help you graph a linear relationship?

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  1. How do identifying the rate of change and the initial value help you graph a linear relationship?

  2. In this lesson you will learn how to solve a problem involving a linear relationshipby writing it in slope-intercept form.

  3. Slope: change in y per unit change in x. y-intercept: point where the graph crosses the y axis +3 +2 Slope = 2/3 Y-intercept=-2 +2 +3 y = ⅔x – 2 y = mx + b +3 +2

  4. Assuming that linear functions always have positive slopes

  5. Hot-air balloon is sitting atop a hill that is 500 feet high. Rises at a rate of 50 feet per minute How high off the ground will it be after 10 minutes? When will it be 620 feet off of the ground? y-intercept slope

  6. y = 50x + 500 How high off the ground will it be after 10 minutes? When will it be 620 feet off of the ground? 620 = 50x + 500 It will be 620 feet off of the ground after 2.4 minutes. y = 50(10) + 500 y = 1000 feet off of the ground after 10 minutes

  7. y = 50x + 500

  8. In this lesson learned how to solve a problem involving a linear relationshipby writing it in slope-intercept form.

  9. A balloon is descending from a height of 200 feet at a rate of 20 feet per minute. When will the balloon reach the ground?

  10. Make 10 pairs of cards, one of which has a table of values for a linear relationship or an equation of a linear relationship, the other of which has a graph of the linear relationship. Turn the cards face down on a table and play the Memory game to match them.

  11. Find a graph of a linear relationship and write a story to illustrate the graph.

  12. A pump removes 1000 gallons of water from a pool at a constant rate of 40 gallons per minute. Write an equation to find the amount of water in the pool after m minutes. Then find out many minutes it will take for the pool to be empty.

  13. In the previous problem, the pool technician needs to skim debris from the pool once there are only 325 gallons of water left in the pool. After how many minutes will this occur?

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