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Writing Linear Equations Given the Slope and a Point

Writing Linear Equations Given the Slope and a Point. Yeo Chang Yoon Kris. 5.2 Writing Linear Equations Given the Slope and a Point. By : Yeo Chang, and Kris. Example 3.

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Writing Linear Equations Given the Slope and a Point

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  1. Writing Linear Equations Given the Slope and a Point Yeo Chang Yoon Kris

  2. 5.2Writing Linear Equations Given the Slope and a Point By: Yeo Chang, and Kris

  3. Example 3 • The number of trips increased by about 26 million per year, so you know the slope is m=26. You also know that (t,y) = (8,740) is a point on the line, because 740 million trips were taken in 1993, 8 years after 1985

  4. Solution (a. • y=mt + b Write slope-intercept form • 740=(26)(8)+b Substitute 26 for m, 8 for t, and 740 for y • 740=208+b Simplify • 532=b The y-intercept is b=532

  5. Thank you fro watching

  6. Writing an Equation of a Line Write an equation of the line that passes through the point (2,6) and has a slope of 5. y = mx + b 6 = 5(2) + b 6 = 10 + b -4 = b y = 5x – 4

  7. Writing Equations of Parallel Lines Find the equation of the line that is parallel to the line y = -5x + 3 and passes through the point (2,2) y = -5x + b 2 = -5(2) + b 2 = -10 + b 12 = b y = -5x + 12

  8. Write an equation of the line that has the given x-intercept and slope. y = mx + b 0 = 3(4) + b 0 = 12+ b - 12 = b x-intercept = 4 Slope = 3 y = 3x - 12

  9. Your turn Write an equation of the line that passes through (5,3) and has a slope of -5. y = mx + b 3 = -5(5) + b 3 = -25 + b 28 = b y = -5x + 28

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