Find the slope and y-intercept of the line 6x – 3y = 7<br />
slope-intercept equation   y=mx+b<br />Write an equation of the line from the graph<br /><ul><li> b = -3
m = 4/3</li></ul>3<br />4<br />
Let’s start with the slope formula…<br />m<br />
Let’s start with the slope formula…<br />
Let’s start with the slope formula…<br />
Let’s start with the slope formula…<br />
Let’s start with the slope formula…<br />
Let’s start with the slope formula…<br />Point-Slope form<br />
Write an equation of a line containing the point (1,2) with slope of  –½ <br />(x1,y1) = (1,2) m = - ½<br />y – y1 = m(x –...
Write an equation of the line containing the points (-2,2) and (3,7)<br />Find the slope: <br />m = 1<br />(x1, y1) = (-2,...
Write an equation of the line through (6, -5) that is perpendicular to<br />What do we know?<br />We know a point on our l...
Write an equation of the line through (6, -5) that is perpendicular to<br />using point-slope:<br />y – (-5) =        (x –...
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Alg2 lesson 2 4

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Alg2 lesson 2 4

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

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