The Point-Slope Form Worksheet With Answer Key Page 5
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7194
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Chapter 4 Linear Equations in Two Variables and Their Graphs
4 . 4
E X E R C I S E S
Reading and Writing After reading this section, write out
Write each equation in standard form using only integers.
the answers to these questions. Use complete sentences.
See Example 2.
19. y
3
2(x
5)
20. y
2
3(x
1)
1. What is the point-slope form for the equation of a
line?
1
1
21. y
x
3
22. y
x
5
2. For what is the point-slope form used?
2
3
2
3
23. y
2
(x
4)
24. y
1
(x
4)
3. What is the procedure for finding the equation of a line
2
3
when given two points on the line?
Find the equation of each line. Write each answer in stan-
dard form using only integers. See Example 2.
4. How can you find the slope of a line when given the
25. The line through the points (1, 2) and (5, 8)
equation of the line?
26. The line through the points (3, 5) and (8, 15)
5. What is the relationship between the slopes of parallel
27. The line through the points ( 2,
1) and (3,
4)
lines?
28. The line through the points ( 1,
3) and (2,
1)
6. What is the relationship between the slopes of perpen-
dicular lines?
29. The line through the points ( 2, 0) and (0, 2)
30. The line through the points (0, 3) and (5, 0)
Write each equation in slope-intercept form. See Example 1.
7. y
1
5(x
2)
8. y
3
3(x
6)
The lines in each figure are perpendicular. Find the equation
(in slope-intercept form) for the solid line.
9. 3x
4y
80
10. 2x
3y
90
31.
y
1
2
1
2
1
2
(3, 3)
11. y
x
12. y
x
3
4
3
2
5
2
(0, 0)
x
(5, – 1)
Find the equation of each line. Write each answer in slope-
intercept form. See Example 1.
1
13. The line through (2, 3) with slope
3
32.
1
y
14. The line through (1, 4) with slope
4
1
15. The line through ( 2, 5) with slope
2
( – 5, 1)
(3, 1)
1
16. The line through ( 3, 1) with slope
x
3
17. The line with slope
6 that goes through ( 1,
7)
(0, – 2)
18. The line with slope
8 that goes through ( 1,
5)
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