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Parallel and Perpendicular Equations

Parallel and Perpendicular Equations. Definitions. Parallel Lines- have the same slope . Since they rise and run at the same levels. Cross the y-axis at different points though. Perpendicular Lines- cross at 90 ° They make an exact corner.

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Parallel and Perpendicular Equations

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  1. Parallel and Perpendicular Equations

  2. Definitions • Parallel Lines- have the same slope. • Since they rise and run at the same levels. • Cross the y-axis at different points though. • Perpendicular Lines- cross at 90° • They make an exact corner. • You have to “flip-op” the slope of a perpendicular line to get the new equation.

  3. Steps… Parallel Perpendicular “flip-op” the slope in the equation given. Using the point-slope form, plug in the “flip-op” slope and the ordered pair to find the equation. • Copy the slope of the equation given. • Using the point-slope form, plug in the ordered pair and the slope to find the equation.

  4. Write the slope-intercept form of an equation for the line that passes through (4, –2) and is parallel to the graph of Answer: The equation is Example 6-1a

  5. Check You can check your result by graphing bothequations. The lines appear to be parallel. The graph of passes through (4, –2). Example 6-1d

  6. Write the slope-intercept form of an equation for the line that passes through (2, 3) and is parallel to the graph of Answer: Example 6-1e

  7. Geometry The height of a trapezoid is measuredon a segment that isperpendicular to a base. In trapezoid ARTP, and arebases. Can be used tomeasure the height of the trapezoid?Explain. Example 6-2a

  8. Write the slope-intercept form for an equation of a line that passes through (4, –1) and is perpendicular to the graph of Answer: The equation of the line is Example 6-3a

  9. Write the slope-intercept form for an equation of a linethat passes through (–3, 6) and is perpendicularto the graph of Answer: Example 5

  10. Write the slope-intercept form for an equation of a lineperpendicular to the graph of and passes through (0, 6). Answer: The equation of the line is Example 6

  11. Write the slope-intercept form for an equation ofa line perpendicular to the graph ofand passes through the x-intercept of that line. Answer: Example 7

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