5. Compute the distance between these pairs of points: (a) (-2, 5) and (4, 13) (b) (3,-4) and (8, 8)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
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Help with 5 and 6

uinate
system drawn on a sheet of graph paper:
(a) T(0, 5)
(b) U(7, 1)
(c) V(0, -5.2)
(d) W(-7, 1)
(е) X(0, 0)
3. Plot these points and connect them in order with line segments:
(1, 1), (1, 11), (4, 13), (5, 15), (6, 13), (7, 12), (10, 11), (9, 10),
(6, 9), (4, 7), and (1, 1).
0 1owoq a lo olqiile
uc D 12
4. (a) Plot the points (5, 0), (4, 3), (3, 4), (0, 5), (-3, 4),
(-4,3), (-5,0), (-4, –3), (-3,-4), (0, -5), (3, –4), and 2
(4,-3). onan
Sepe
(b) What do you observe about the points in part (a)?
5. Compute the distance between these pairs of points:
(a) (-2, 5) and (4, 13)
(b) (3,-4) and (8, 8)
6. Compute the distance between these pairs of points:
(a) (0, 7) and (8, -8)
(b) (3, 5) and (2, -4.3)
7. Compute the slopes of the line segments determined by the
given pairs of points. In each case, tell whether the segment is
vertical, is horizontal, slopes upward to the right, or slopes
downward to the right.
(a) P(1, 4), Q(3, 8)
(b) R(-2, 5), S(-2, -6)
(c) U(-2,-3), V(-4,-7)
8. Compute the slopes of the line segments determined by the
given pairs of points. In each case, tell whether the segment is
vertical, is horizontal, slopes upward to the right, or slopes
downward to the right.
(a) C(3, 5), D(-3, 5)
(b) E(1, –2), F(-2, –5)
Transcribed Image Text:uinate system drawn on a sheet of graph paper: (a) T(0, 5) (b) U(7, 1) (c) V(0, -5.2) (d) W(-7, 1) (е) X(0, 0) 3. Plot these points and connect them in order with line segments: (1, 1), (1, 11), (4, 13), (5, 15), (6, 13), (7, 12), (10, 11), (9, 10), (6, 9), (4, 7), and (1, 1). 0 1owoq a lo olqiile uc D 12 4. (a) Plot the points (5, 0), (4, 3), (3, 4), (0, 5), (-3, 4), (-4,3), (-5,0), (-4, –3), (-3,-4), (0, -5), (3, –4), and 2 (4,-3). onan Sepe (b) What do you observe about the points in part (a)? 5. Compute the distance between these pairs of points: (a) (-2, 5) and (4, 13) (b) (3,-4) and (8, 8) 6. Compute the distance between these pairs of points: (a) (0, 7) and (8, -8) (b) (3, 5) and (2, -4.3) 7. Compute the slopes of the line segments determined by the given pairs of points. In each case, tell whether the segment is vertical, is horizontal, slopes upward to the right, or slopes downward to the right. (a) P(1, 4), Q(3, 8) (b) R(-2, 5), S(-2, -6) (c) U(-2,-3), V(-4,-7) 8. Compute the slopes of the line segments determined by the given pairs of points. In each case, tell whether the segment is vertical, is horizontal, slopes upward to the right, or slopes downward to the right. (a) C(3, 5), D(-3, 5) (b) E(1, –2), F(-2, –5)
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