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Mastering Point Slope Formula: Equation of a Line

Learn how to find the equation of a line using the point slope formula by given point and slope or two points. Understand the formula's structure: y - y1 = m(x - x1) and practice with examples. Verify your answers and grasp the concept effectively.

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Mastering Point Slope Formula: Equation of a Line

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  1. Finding the Equation of a Line Using Point Slope Formula

  2. What is the Point Slope Formula? • When given a point and a slope of a line or two points of a line, the point slope formula allows you to find the equation of that line. • The equation that you find will be in the form of

  3. What Does It Look Like? • The formula takes the form of: • Where m= slope of the line and and are the point coordinates

  4. Example 1 • Find the equation of a line that has a slope of 2 and passes through the point (2,-4). SO.. • m=2, and Now plug it in!!

  5. Example 1 Continued • Recall: • Plugging in our values of m, and gives us: • Distribute the 2 • Subtracting 4 to both sides gives us our answer ALWAYS CHECK YOUR ANSWER!!

  6. Example 1 Check • Ouranswerwas: • Plug in our given point: • Simplify the right side: GREAT JOB!

  7. Example 2 • Find the equation of the line that passes through the points (-1,5) and (2,6) • Recall:

  8. Example 2 Continued • First find the slope (m) by plugging the two points into the slope formula. • Simplifying gives us: • Now we have and choosing one of the points given also gives us and Now plug it in!!!

  9. Example 2 Continued • Plug in the values of m and • Distribute the • Adding the 6 to both sides gives us the answer ALWAYS CHECK YOUR ANSWER!!

  10. Example 2 Check • Our answer was: • Plug in the first point: We’re not done yet!

  11. Example 2 Check Continued • Our answer was: • Now plug in our second point: GREAT JOB!

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