3.6 Finding the Equation of a Line

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Presentation transcript:

3.6 Finding the Equation of a Line

Slope-Intercept Form Slope y-intercept What are the two things needed to write the equation of a line in slope-intercept form? 1. 2. Slope y-intercept

Write an Equation Given a Slope and a Point on the Line Example: Set up your equation by substituting in the slope. What can you do to find the y-intercept? Find the y-intercept! What is the equation of the line?

Determine an equation in the form of the line passing through the given point P with the given slope m. 1. 2.

Write an Equation Given 2 Points on the Line: Example: Find the slope! Set up your equation by substituting in the slope. What can you do to find the y-intercept? Find the y-intercept! What is the equation of the line?

Determine an equation in the form of the line containing the two given points. 3. 4.

Parallel Lines parallel same In your graphing calculator, graph the following: What do you notice about all three graphs? What is the same about each equation? What is different about each equation? So, to sum it up lines have the slope! parallel same

6. ; parallel to the line containing and Determine the equation in the form of the line through the given point satisfying the given equation. 5. ; parallel to 6. ; parallel to the line containing and

Perpendicular Lines opposite reciprocal Perpendicular lines on the other hand have slopes! opposite reciprocal

Find the slope of a line perpendicular to the given line. 7. 8. 9.

11. Perpendicular to the line through and Determine the equation in the form of the line through the given point satisfying the given equation. 10. perpendicular to 11. Perpendicular to the line through and