Parallel and Perpendicular Lines

Practice

  1. Suppose a line has slope −10. What is the slope of any perpendicular line?

  2. Suppose a line has slope −1. What is the slope of any perpendicular line?

  3. Suppose a line has slope \(\frac{7}{8}\). What is the slope of any perpendicular line?

  4. Suppose a line is vertical.

    What (if anything) can be said about a perpendicular line?

  5. Suppose a line has slope 8. What is the slope of any parallel line?

  6. What is the slope of any line that is parallel to \(y=−9x+7\)?

  7. What is the slope of any line that is perpendicular to \(y=−5x−5\)?

  8. What is the slope of any line that is parallel to \(y=x−5\)?

  9. What is the slope of any line that is perpendicular to \(y=−x−5\)?

  10. What is the slope of any line that is perpendicular to the line \(x=−6\)?

  11. What is the slope of any line that is parallel to \(4x+3y=0\)?

  12. What is the slope of any line that is perpendicular to \(−8x+7y=3\)?

  13. Find the equation of the line parallel to \(y=3x−4\) that passes through the point (7,1). Write in \(y=mx+b\) form.

  14. Find the equation of the line parallel to \(−6x−6y=2\) that passes through the point (−3,3). Write in \(y=mx+b\) form.

  15. Find the equation of the line parallel to \(y=−8\) that passes through the point (−4,−6).

  16. Find the equation of the line parallel to \(x=5\) that passes through the point (−6,−4).

  17. Find the equation of the line perpendicular to \(y=−2x−5\) that passes through the point (−2,9). Write in \(y=mx+b\) form.

  18. Find the equation of the line perpendicular to \(8x−8y=9\) that passes through the point (−10,−3). Write in \(y=mx+b\) form.

  19. Find the equation of the line perpendicular to \(y=−1\) that passes through the point (8,3).

  20. Find the equation of the line perpendicular to \(x=0\) that passes through the point (0,10).