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Point-Slope Form of a Linear Equation. Learn the point-slope form of an equation of a line Write equations in point-slope form that model real-world data.

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## Point-Slope Form of a Linear Equation

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**Point-Slope Form of a Linear Equation**Learn the point-slope form of an equation of a line Write equations in point-slope form that model real-world data**You have been writing equations of the form y = a + bx.**When you know the line’s slope and the y-intercept you can write its equation directly in intercept form. • But there are times that we don’t know the y-intercept. • Some homework questions had you work backwards from a point using the slope until you found the y-intercept. • We can use the slope formula to generate the equation of a line from knowing the slope and one point on the line.**Since the time Beth was born, the population of her town has**increased at the rate of approximately 850 people per year. • On Beth’s 9th birthday the total population was nearly 307,650. If this rate of growth continues, what will be the population on Beth’s 16th birthday?**Silo and Jenny conducted an experiment in which Jenny walked**at a constant rate. Unfortunately, Silo recorded on the data shown in the table.**Silo and Jenny conducted an experiment in which Jenny walked**at a constant rate. Unfortunately, Silo recorded only the data shown in the table.**Complete steps 1-5 with your group. Be prepared to share**your thinking with the class.**Consider a new set of data that describe how the temperature**of a pot of water changed over time as it was heated. • Some of the group should create a paper graph while others use their graphing calculator to create a scatter plot. • Complete steps 6-8 with your group.**For step 9, compare your graph to others in your group.**Does one graph show a line that is a better fit than others. Explain.**When do you use slope-intercept form and when do you use**point-slope form? • Is there a difference between the two? • Explain how the two forms are similar and how they are different.

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