2.4 MORE ABOUT LINEAREQUATIONS
SLOPE AND LINES
POINT – SLOPE FORM
EXAMPLE: WRITING ANEQUATION GIVEN A POINTAND THE SLOPE                                                     3   A line pas...
EXAMPLE: WRITING ANEQUATION GIVEN A POINTAND THE SLOPE   A line passes through   ( 7, −1) with slope −3    What is an equ...
WRITING AN EQUATIONGIVEN TWO POINTS                         y2 − y11.   Find the slope   m=                         x2 − x...
EXAMPLE   A line passes through (3, 2) and (5, 8). What is an    equation of the line in point-slope form?
EXAMPLE   A line passes through (- 5, 0) and (0, 7). What is    an equation of the line in point-slope form?
STANDARD FORM
WRITING AN EQUATION INSTANDARD FORM WITHINTEGER COEFFICIENTS
EXAMPLE: WRITE THEEQUATION IN STANDARD FORM.USE INTEGER COEFFICIENTS.   3y = x −5   4
GRAPHING AN EQUATIONThe quickest way to graph a line is to:   1.   Find the x – intercept by setting y = 0   2.   Find the...
EXAMPLE: WHAT ARE THEINTERCEPTS OF THEEQUATION? GRAPH THEEQUATION.3 x + 5 y = 15
PARALLEL ANDPERPENDICULAR LINES
WRITING EQUATIONS OFPARALLEL ANDPERPENDICULAR LINES1.   Find the appropriate slope2.   Use the given point and point – slo...
EXAMPLE: WRITE THEEQUATION OF THE LINE INSLOPE – INTERCEPT FORM.The line parallel to y = 6 x − 2and through ( 1, −3)
EXAMPLE: WRITE THEEQUATION OF THE LINE INSLOPE – INTERCEPT FORM.                                     2The line perpendicul...
EXAMPLE: WRITE THEEQUATION OF THE LINE INSLOPE – INTERCEPT FORM.The line parallel to 4 x + 2 y = 7and through ( 4, −2 )
EXAMPLE: WRITE THEEQUATION OF THE LINE INSLOPE – INTERCEPT FORM.                             2The line perpendicular to y ...
HOMEWORK   Page 86     #6   – 8 all, 11 – 29 odd, 32 – 35 all, 42 – 44 all
2.4
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2.4

  1. 1. 2.4 MORE ABOUT LINEAREQUATIONS
  2. 2. SLOPE AND LINES
  3. 3. POINT – SLOPE FORM
  4. 4. EXAMPLE: WRITING ANEQUATION GIVEN A POINTAND THE SLOPE 3 A line passes through ( −5, 2 ) with slope 5 What is an equation of the line?
  5. 5. EXAMPLE: WRITING ANEQUATION GIVEN A POINTAND THE SLOPE A line passes through ( 7, −1) with slope −3 What is an equation of the line?
  6. 6. WRITING AN EQUATIONGIVEN TWO POINTS y2 − y11. Find the slope m= x2 − x12. Substitute the slope and one point into the point-slope form y − y1 = m ( x − x1 )
  7. 7. EXAMPLE A line passes through (3, 2) and (5, 8). What is an equation of the line in point-slope form?
  8. 8. EXAMPLE A line passes through (- 5, 0) and (0, 7). What is an equation of the line in point-slope form?
  9. 9. STANDARD FORM
  10. 10. WRITING AN EQUATION INSTANDARD FORM WITHINTEGER COEFFICIENTS
  11. 11. EXAMPLE: WRITE THEEQUATION IN STANDARD FORM.USE INTEGER COEFFICIENTS. 3y = x −5 4
  12. 12. GRAPHING AN EQUATIONThe quickest way to graph a line is to: 1. Find the x – intercept by setting y = 0 2. Find the y – intercept by setting x = 0 3. Plot the intercepts 4. Draw the line
  13. 13. EXAMPLE: WHAT ARE THEINTERCEPTS OF THEEQUATION? GRAPH THEEQUATION.3 x + 5 y = 15
  14. 14. PARALLEL ANDPERPENDICULAR LINES
  15. 15. WRITING EQUATIONS OFPARALLEL ANDPERPENDICULAR LINES1. Find the appropriate slope2. Use the given point and point – slope form to write the equation of the line
  16. 16. EXAMPLE: WRITE THEEQUATION OF THE LINE INSLOPE – INTERCEPT FORM.The line parallel to y = 6 x − 2and through ( 1, −3)
  17. 17. EXAMPLE: WRITE THEEQUATION OF THE LINE INSLOPE – INTERCEPT FORM. 2The line perpendicular to y = −4 x + 3and through ( 8,5 )
  18. 18. EXAMPLE: WRITE THEEQUATION OF THE LINE INSLOPE – INTERCEPT FORM.The line parallel to 4 x + 2 y = 7and through ( 4, −2 )
  19. 19. EXAMPLE: WRITE THEEQUATION OF THE LINE INSLOPE – INTERCEPT FORM. 2The line perpendicular to y = x − 1 3and through ( 0,6 )
  20. 20. HOMEWORK Page 86  #6 – 8 all, 11 – 29 odd, 32 – 35 all, 42 – 44 all

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