4-9 Homework
Workbook page 247 ALL
Write an equation in slope-intercept form for the line that is parallel to the given line and that passes through
the given point.
1. 𝑦 = 3𝑥 − 7; (0,4)
2. 𝑦 = 7; (2,4)
1
3. 5𝑥 − 2𝑦 = 10; (3,-5)
4. 𝑦 = 2 𝑥 − 1; (0,4)
5. 3𝑥 + 4𝑦 = 8; (4,-3)
Write an equation in slope-intercept form for the line that is perpendicular to the given line and that passes
through the given point.
6. 𝑦 = −3𝑥 + 4; (6,-2)
7. 2𝑥 + 3𝑦 = 7 (4,5)
8. −2𝑥 − 8𝑦 = 16; (4,5)
9. 𝑥 + 𝑦 = 2; (8,5)
10. 4𝑥 − 2𝑦 = −6; (3,-2)
11. Write an equation describing the line that is parallel to the y-axis and that is 6 units to the right of the
y-axis.
12. Write an equation describing the line that is perpendicular to the y-axis and that is 4 units below the xaxis.
13. Is it possible for two linear functions whose graphs are parallel lines to have the same y-intercept?
Explain.
Answers
1. 𝑦 = 3𝑥 + 4
2. 𝑦 = 4
5
3. 𝑦 = 2 𝑥 −
1
25
2
4. 𝑦 = 2 𝑥 + 4
3
5. 𝑦 = − 4 𝑥
1
6. 𝑦 = 3 𝑥 − 4
3
7. 𝑦 = 2 𝑥 − 1
8. 𝑦 = 4𝑥 − 11
9. 𝑦 = 𝑥 − 3
1
1
10. 𝑦 = − 2 𝑥 − 2
11. 𝑥 = 6
12. 𝑦 = −4
13. No; if two lines have the same y-intercept and the same slope, they are the same line and cannot be
parallel.