Name:
Period:
TEST 5 REVIEW
5 – 1 Slopes of Lines & 5 – 2 Equations of Lines
1. Write the equation for the line that is parallel to y = 4x + 1 and passes through (–1, 4).
WORK:
Parallel slope = ______
Equation = ____________________
2. Write the equation for the line that is perpendicular to y = –3x – 9 and passes through (6, 8).
WORK:
Perpendicular slope = ______
Equation = ____________________
2
3. Write the equation for the line that is parallel to y = x + 10 and passes through (9, 1).
3
WORK:
Parallel slope = ______
Equation = ____________________
3
4. Write the equation for the line that is perpendicular to y = x + 5 and passes through (–3, –3).
4
WORK:
Perpendicular slope = ______
Equation = ____________________
5. Graph and write the equation of the line that passes through the points M(1, 3) and N(4, 9).
GRAPH:
Find m:
Find b:
Equation: _______________________
6. Graph and write the equation of the line that passes through the points S(–4, –9) and T(1, 6).
GRAPH:
Find m:
Find b:
Equation: _______________________
7. Graph and write the equation of the line that passes through the points J(0, –5) and K(3, –1).
GRAPH:
Find m:
Find b:
Equation: _______________________
8. Graph and write the equation of the line that passes through the points Y(–6, 10) and Z(2, 6).
GRAPH:
Find m:
Find b:
Equation: _______________________
9. Graph and write the equation of the line that passes through the points A(–1, 6) and B(2, –6).
GRAPH:
Find m:
Find b:
Equation: _______________________
10. Graph and write the equation of the line that passes through the points P(–8, –1) and Q(4, –4).
GRAPH:
Find m:
Find b:
Equation: _______________________
11. Identify the slope and write the equation for lines r and s.
s
r
Slope of line r = _______
Equation of line r: __________________
Slope of line s = _______
Equation of line s: __________________
Classify Line 1 and Line 2 as parallel, perpendicular, coinciding, or intersecting.
12. Line 1: 3y + 2x = 6
Line 2: 2y – 3x = 4
WORK (rewrite each as y = mx + b):
Classify: _______________________
13. Line 1: 8y – 2x = –16
Line 2: –4y + x = 16
WORK (rewrite each as y = mx + b):
Classify: _______________________
14. Line 1: 4y – 3x = 4
Line 2: 12y – 9x = 12
Classify: _______________________
WORK (rewrite each as y = mx + b):
15. Line 1: –2y + x = –12
Line 2: 4y – 2x = –8
WORK (rewrite each as y = mx + b):
Classify: _______________________
16. Line 1: 10y – 2x = 30
Line 2: 2y + 10x = –6
WORK (rewrite each as y = mx + b):
Classify: _______________________
17. Line 1: y + x = 5
Line 2: y + x = –10
WORK (rewrite each as y = mx + b):
Classify: _______________________
18. Line 1: x + y = 5
Line 2: y – x = –5
WORK (rewrite each as y = mx + b):
Classify: _______________________
19. Graph 2y – 6x = 4. Then, identify which line is parallel.
GRAPH (both lines):
WORK (rewrite as y = mx + b):
Which line is parallel?
A.
1
y= x–7
3
B.
y = 3x – 5
C. y = 3x + 2
D. y = –3x + 4
20. Graph 4x + y = 3. Then, identify which line is perpendicular.
GRAPH (both lines):
WORK (rewrite as y = mx + b):
Which line is perpendicular?
A.
1
y= x+6
4
B.
1
y=– x+2
4
C. y = 4x – 5
D. y = –4x + 1
21. Graph 3y – 4x = –6 Then, identify which line is intersecting (but NOT perpendicular).
GRAPH (both lines):
WORK (rewrite as y = mx + b):
Which line is intersecting (but NOT perpendicular)?
A.
4
y= x+5
3
B.
3
y=– x+3
4
C. y = 3x + 4
4
D. y = x – 2
3
22. Graph 6y – 2x = –12. Then, identify which line is coinciding.
GRAPH (both lines)
WORK (rewrite as y = mx + b):
Which line is coinciding?
A.
y = –3x + 4
B.
y = 3x – 2
1
C. y = x – 7
3
1
D. y = x – 2
3
23. Graph 2y – x = 2. Then, identify which line is intersecting (but NOT perpendicular).
GRAPH (both lines):
WORK (rewrite as y = mx + b):
Which line is intersecting (but NOT perpendicular)?
A.
1
y=– x+2
2
B.
1
y= x–7
2
C. y = –2x + 6
1
D. y = x + 1
2
24. Graph 5y – 2x = 5. Then, identify which line is perpendicular.
GRAPH (both lines):
WORK (rewrite as y = mx + b):
Which line is perpendicular?
A.
5
y= x+3
2
B.
5
y=– x–1
2
2
C. y = x + 1
5
2
D. y = – x + 4
5