Name ________________________________________ Date __________________ Class __________________
LESSON
25-1
Slope and Parallel Lines
Practice and Problem Solving: A/B
Line A contains the points (2, 6) and (4, 10). Line B contains the
points (−2, 3) and (3, 13).
1. Are the lines parallel? Explain your reasoning.
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Figure JKLM has as its vertices the points J(4, 4), K(2, 1), L(−3, 2),
and M(−1, 5).
Find each slope.
2. JK
3. KL
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4. LM
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5. MJ
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6. Is JKLM a parallelogram? Explain your reasoning.
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For Problems 7–10, use the graph at the right.
7. Find the slope of line A.
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8. Explain how you found the slope.
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9. Line m is parallel to line A and passes through point M.
Find the slope of line m.
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10. Find the equation of line m. Explain how you found the equation.
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Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
470
Name ________________________________________ Date __________________ Class __________________
LESSON
25-1
Slope and Parallel Lines
Practice and Problem Solving: C
Write the equation of the line that is parallel to the graph of the given
equation and that passes through the given point.
1. y = −6x + 4; (−2, 3)
2. y = x; (7, −2)
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3. Quadrilateral ABCD has vertices A(−1, 5), B(4, 0), C(1, −5),
and D(−5, 1). Calculate the slopes of the sides, and then use
your results to explain whether ABCD is or is not a parallelogram.
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4. Find the equation of the line parallel to 2x + 5y = 3 and
2x + 5y = 7 that lies midway between them.
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5. A line that passes through the points (2, −3) and (b, 7)
is parallel to the line y = −2x + 17. Find the value of b.
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6. A line on the coordinate plane passes through the points (−7, 8) and
(−7, 20). A line that is parallel to the first line passes through the points
(11, −4) and (x, 9). Find the value of x.
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7. A line on the coordinate plane passes through the points (−3, −7) and
(0, −5). A line that is parallel to the first line passes through the points
(6, 4) and (−9, y). Find the value of y.
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8. Line L has the equation ax + by = c. Line M is parallel to Line L. What
is the slope of Line M?
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Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
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