Writing Equations Of Lines

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  • write an equation of a line whose slope is m=-3 and whose y-intercept is b=7
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  • write an equation of a line whose slope is m=-3 and whose y-intercept is b=7
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  • 1. Writing Equations of Lines
  • 2. Do Now: Answer each of the following questions based on the graph
    • What is the slope of the line?
    • What is the y-intercept?
    • 3. What is the equation of the line?
  • 3. How do we write equations of lines?
    • Determine the slope
    • Determine the y-intercept
    • Sub slope ( m ) and y-intercept ( b ) into
    • y = mx + b
  • 4. Practice:
    • What is the slope of the line?
    • What is the y-intercept?
    • 3. What is the equation of the line?
  • 5. Practice:
    • What is the slope of the line?
    • What is the y-intercept?
    • 3. What is the equation of the line?
  • 6. How do we write equations of lines without the graph?
    • 1. Example: Write an equation of the line whose slope is 3 and passes through the point (1,4).
    • What is slope (m ) ?
    • To find y-intercept:
    • a. Sub m, x and y into y=mx +b
      • b. Solve for b
    • 3. Sub m and b into y=mx +b
  • 7. Practice
    • 2 . Example: Write an equation of the line whose slope is - 2 and passes through the point (2,-3).
    • What is slope (m ) ?
    • To find y-intercept:
    • a. Sub m, x and y into y=mx +b
      • b. Solve for b
    • 3. Sub m and b into y=mx +b
  • 8. How do we write equations of lines without the graph?
    • 3. Example: Write an equation of the line that passes through the points (2,6) and (-2,10).
    • Find slope (m ) using slope formula
    • To find y-intercept, pick one of the points given:
    • a. Sub m, x and y into y=mx +b
      • b. Solve for b
    • 3. Sub m and b into y=mx +b
  • 9. Practice:
    • 4. Example: Write an equation of the line that passes through the points (-1,-2) and (2,10).
    • Find slope (m ) using slope formula
    • To find y-intercept, pick one of the points given:
    • a. Sub m, x and y into y=mx +b
      • b. Solve for b
    • 3. Sub m and b into y=mx +b
  • 10. How do we write equations of lines without the graph?
    • 5. Write the equation of a line whose slope is - 3 and
    • y-intercept is 1.
    • Find slope ( m )
    • Find y-intercept ( b )
    • Substitute into y=mx+b
  • 11. Practice
    • 6 . Write the equation of a line whose slope is 1/2 and
    • y-intercept is -3.
    • Find slope ( m )
    • Find y-intercept ( b )
    • Substitute into y=mx+b
  • 12. Practice
    • 7. What is the equation of the line that is parallel to y - 2x = 4 and whose y-intercept is –1?
    • Find slope ( m )
    • Find y-intercept ( b )
    • Substitute into y=mx+b
  • 13. Practice
    • 8. What is the equation of the line that is parallel to y + 3x = 2 and whose y-intercept is 4?
    • Find slope ( m )
    • Find y-intercept ( b )
    • Substitute into y=mx+b
  • 14. Practice
    • 9. Write an equation of the line that is perpendicular to
    • y = 2x + 4 and whose
    • y-intercept is 2?
    • Find slope ( m )
    • Find y-intercept ( b )
    • Substitute into y=mx+b
  • 15. Practice
    • 10.Write an equation of the line that is perpendicular to
    • y = ½ x - 2 and whose
    • y-intercept is 1?
    • Find slope ( m )
    • Find y-intercept ( b )
    • Substitute into y=mx+b