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Find the slope of each line. 1. slope of p = 2. slope of q = 3. slope of r = 4. slope of m = 5. slope of n...

3. Find the slope of each line.
1. slope of p =
2. slope of q =
3. slope of r =
4. slope of m =
5. slope of n =
6. Select all the true statements.
A. p || q
B. q ⊥ n
C. m || n
D. p ⊥ m
E. m || p
F. n ⊥ p
7. What must be true to prove that q ⊥ n?
A) The slope of q must be the reciprocal of the slope of n.
B) The slope of q must be the negative reciprocal of the slope of n.
C) The slope of q must be the slope of n multiplied by -1.
D) The slope of q must be 1 divided by the slope of n.

Answer

  1. The slope of line p is calculated using the points (-15.5, 0) and (12, 0). Since both points have the same y-coordinate, the slope is 0.

  2. The slope of line q is calculated using the points (0, 6.2) and (6.8, 3). Slope = (3 - 6.2) / (6.8 - 0) = -0.47.

  3. The slope of line r is calculated using the points (6.8, 3) and (0.4, -3). Slope = (-3 - 3) / (0.4 - 6.8) = 1.

  4. The slope of line m is calculated using the points (-15.5, 0) and (-5, -6.8). Slope = (-6.8 - 0) / (-5 + 15.5) = -0.68.

  5. The slope of line n is calculated using the points (-5, -6.8) and (4, -12). Slope = (-12 + 6.8) / (4 + 5) = -0.58.

  6. True statements are:
    B. q ⊥ n
    D. p ⊥ m

  7. To prove that q ⊥ n, the correct statement is:
    B) The slope of q must be the negative reciprocal of the slope of n.

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