Chapter 2 Linear Equations and Functions 2.5 Writing Equations of Lines.
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Chapter 2 – Linear Equations and Functions 2.5 – Writing Equations of Lines
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2.5 – Writing Equations of Lines If you know: –Slope (m) and y – intercept (b), you can use slope – intercept form y = mx + b –Slope (m) and any point on the line (x 1, y 1 ), you can use point – slope form y – y 1 = m (x – x 1 )
Transcript of Chapter 2 Linear Equations and Functions 2.5 Writing Equations of Lines.
Chapter 2 – Linear Equations and Functions
2.5 – Writing Equations of Lines
2.5 – Writing Equations of Lines• In this section we will review:
– Writing linear equations
2.5 – Writing Equations of Lines
• If you know:– Slope (m) and y – intercept (b), you can
use slope – intercept formy = mx + b
– Slope (m) and any point on the line (x1, y1), you can use point – slope form
y – y1 = m (x – x1)
2.5 – Writing Equations of Lines
• Example 1– Write an equation
of the line shown
2.5 – Writing Equations of Lines
• Example 2– Write an equation
of the line shown
2.5 – Writing Equations of Lines• Example 3
– Write an equation of the line that passes through (9, 2) and has a slope of -1
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2.5 – Writing Equations of Lines• Example 4
– Write an equation of the line that passes through (-1, 0) and has a slope of 2.
2.5 – Writing Equations of Lines• Example 5
– Write an equation of the line that passes through (2, 1) and is parallel to the line y = 3x + 10.
2.5 – Writing Equations of Lines• Example 6
– Write an equation of the line that passes through (2, 1) and is perpendicular to the line y = 3x + 10.
2.5 – Writing Equations of Lines• Example 7
– Write an equation of the line that passes through (-6, 3) and is parallel to the line y = ½ x + 4.
2.5 – Writing Equations of Lines• Example 8
– Write an equation of the line that passes through (-6, 3) and is perpendicular to the line y = ½ x + 4.
2.5 – Writing Equations of Lines
• Example 9– At the end of 2006 the number of children
enrolled in an after-school activity was 350. At the beginning of 1997 the number of children enrolled in the activity was 180. Write a linear model that represents the number of children enrolled in the activity between 1997 and 2006.
2.5 – Writing Equations of Lines
• Example 10– In 2003, a house was valued at $250,000. In
2009, the same house was valued at $205,000. Write a linear model for the value v of the house for the period 2003 to 2009 where t represents the number of years since 2003.
2.5 – Writing Equations of Lines
HOMEWORKWorksheet 2.5
