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Find the slope and y-intercept of the line 6x – 3y = 7
slope-intercept equation   y=mx+b Write an equation of the line from the graph ,[object Object]
m = 4/33 4
Let’s start with the slope formula… m
Let’s start with the slope formula…
Let’s start with the slope formula…
Let’s start with the slope formula…
Let’s start with the slope formula…
Let’s start with the slope formula… Point-Slope form
Write an equation of a line containing the point (1,2) with slope of  –½  (x1,y1) = (1,2) m = - ½ y – y1 = m(x – x1) y – 2 = - ½( x – 1) y – 2 = - ½ x + ½    +2    		    +2
Write an equation of the line containing the points (-2,2) and (3,7) Find the slope:  m = 1 (x1, y1) = (-2, 2) y – 2 = 1 ( x – (-2)) y – 2 = x + 2 y = x + 4    (3,7) (-2,2)
Write an equation of the line through (6, -5) that is perpendicular to What do we know? We know a point on our line: (6, -5) Do we know the slope of our line? NO Do we know anything about the slope of our line? Our line is perpendicular to  So its slope is the opposite reciprocal of ?
Write an equation of the line through (6, -5) that is perpendicular to using point-slope: y – (-5) =        (x – 6) y + 5 =        x +  y =       x –  m = 15 m┴ =

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Alg2 lesson 2 4

  • 1. Find the slope and y-intercept of the line 6x – 3y = 7
  • 2.
  • 4. Let’s start with the slope formula… m
  • 5. Let’s start with the slope formula…
  • 6. Let’s start with the slope formula…
  • 7. Let’s start with the slope formula…
  • 8. Let’s start with the slope formula…
  • 9. Let’s start with the slope formula… Point-Slope form
  • 10. Write an equation of a line containing the point (1,2) with slope of –½ (x1,y1) = (1,2) m = - ½ y – y1 = m(x – x1) y – 2 = - ½( x – 1) y – 2 = - ½ x + ½ +2 +2
  • 11. Write an equation of the line containing the points (-2,2) and (3,7) Find the slope: m = 1 (x1, y1) = (-2, 2) y – 2 = 1 ( x – (-2)) y – 2 = x + 2 y = x + 4 (3,7) (-2,2)
  • 12. Write an equation of the line through (6, -5) that is perpendicular to What do we know? We know a point on our line: (6, -5) Do we know the slope of our line? NO Do we know anything about the slope of our line? Our line is perpendicular to So its slope is the opposite reciprocal of ?
  • 13. Write an equation of the line through (6, -5) that is perpendicular to using point-slope: y – (-5) = (x – 6) y + 5 = x + y = x – m = 15 m┴ =
  • 14. The “Big 3” forms of linear equations