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Writing the equations of lines Point-slope form
Example  1: Write the equation of the line that passes through the point (2,5) and has a slope of 3. 2 3 5 Distribute Isolate “y” and combine like terms
Example 2 Write the equation of a line that has a slope of      and passes through the point (-3,1). “double” signs…not good 2 1 -3 3 That’s better! Distributive property Isolate “y” and combine like terms
Write the equation of a line that passes through the points (4,2) and (10, 6). This time, we have to find the slope first. Example 3	 Run=6 Rise=4 If you don’t like the slope formula, you can also graph the two points and use Rise over Run
Example 3(cont) Write the equation of a line that passes through the points (4,2) and (10, 6). Now that we know the slope, pick one of the points and write the equation.
Example 4 Write the equation of the line that passes through (-2,-5) and (-1,3). 1 8
1.  Write the equation of the line that has a slope of -3 and passes through the point (3,6). 2.  Write the equation of the line that passes through the points (-3,2) and (4,-1). Answers: 1.  y=-3x+15 2.   You try:

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Writing the equations of lines(point slope form)

  • 1. Writing the equations of lines Point-slope form
  • 2. Example 1: Write the equation of the line that passes through the point (2,5) and has a slope of 3. 2 3 5 Distribute Isolate “y” and combine like terms
  • 3. Example 2 Write the equation of a line that has a slope of and passes through the point (-3,1). “double” signs…not good 2 1 -3 3 That’s better! Distributive property Isolate “y” and combine like terms
  • 4. Write the equation of a line that passes through the points (4,2) and (10, 6). This time, we have to find the slope first. Example 3 Run=6 Rise=4 If you don’t like the slope formula, you can also graph the two points and use Rise over Run
  • 5. Example 3(cont) Write the equation of a line that passes through the points (4,2) and (10, 6). Now that we know the slope, pick one of the points and write the equation.
  • 6. Example 4 Write the equation of the line that passes through (-2,-5) and (-1,3). 1 8
  • 7. 1. Write the equation of the line that has a slope of -3 and passes through the point (3,6). 2. Write the equation of the line that passes through the points (-3,2) and (4,-1). Answers: 1. y=-3x+15 2. You try: