Writing Linear Equations Given the Slope and a Point

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Writing Linear Equations Given the Slope and a
Point

• Yeo Chang Yoon
• Kris

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5.2Writing Linear Equations Given the Slope and
a Point

• By Yeo Chang, and Kris

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Example 3

• The number of trips increased by about 26 million
  per year, so you know the slope is m26. 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

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Solution (a.

• ymt b Write slope-intercept
  form
• 740(26)(8)b Substitute 26 for m, 8 for t,
  and 740 for y
• 740208b Simplify
• 532b The y-intercept is b532

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Thank you fro watching
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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
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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
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Write an equation of the line that has the given
x-intercept and slope.
x-intercept 4 Slope 3

• y mx b
• 0 3(4) b
• 0 12 b
• - 12 b

y 3x - 12

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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