MAT 221 Parallel and Perpendicular Lines

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  • The PARALLEL EQUATION IS y= -x+3;(-2,-2)
  • The PERPENDICULAR EQUATION IS y= 2/3x+2; (9,-3)

  • Given an equation of a line, find equations for lines parallel or perpendicular to it going through specified points. Find the appropriate equations and points from the table below. Simplify your equations into slope-intercept form.
  • Discuss the steps necessary to carry out each activity. Describe briefly what each line looks like in relation to the original given line.
  • Answer these two questions briefly in your own words: 

    • What does it mean for one line to be parallel to another?
    • What does it mean for one line to be perpendicular to another?
  • Incorporate the following five math vocabulary words into your discussion. Use bold font to emphasize the words in your writing (Do not write definitions for the words; use them appropriately in sentences describing your math work.):

    • Origin 
    • Ordered pair 
    • X- or y-intercept 
    • Slope 
    • Reciprocal
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