Name _______________________________ Date ____________________ Period _________
Review # 2: Writing Equations of Lines
Find the slope of the line that passes through each pair of points.
1. (-5, 1) and (4, -2)
A
_____________________
2. (5, 6) and (-7, 2)
B
_____________________
3. (-6, -1) and (-4, -7)
C
_____________________
4. (-2, 0) and (-8, 2)
D
_____________________
5. (-2, 2) and (-8, 2)
E
_____________________
6. List all pairs of parallel and perpendicular lines.
Use the letters A, B,C, D, E.
Parallel _____________________
Perpendicular
Graph each line.
7. Graph the line using the intercepts
x - 3y = 9
x-int:___________
y-int:___________
_____________________
Review # 2
8. Graph the line using the intercepts
3x + 2y = 6
x-int:___________
y-int:___________
9. Graph using the slope and y-intercept
3x - 2y = 8
slope-intercept form:__________________
m = ______ b = _______
Write the equation of the line with the following conditions.
1
10. slope =
, passes through (-1, 5) in standard form
3
_____________________
11.
parallel to 2x + y = 10, passes through (2, -2) in slope-intercept form
_____________________
12. perpendicular to 3x – 4y = 6, passes through (3, -2) in slope-intercept form
_____________________
13. passes through (2, -1) and (8, -5) in slope-intercept form
_____________________
14.
passes through (4, 2) and (4,-5) in standard form
_____________________
15. passes through (7, 5) and (-1, 5) in standard form
_____________________
16. in standard form
17. in slope-intercept form
x
9
3
-6
-18
-27
y
-3
-5
-8
-12
-15
x
-8
-3
-1
2
5
y
19
9
5
-1
-7
_____________________
_____________________
18. Solve 9 – 4(2 – y) = 7y – (3 + y)
_____________________
Determine whether each relation is a function (circle yes or no). If it is not, tell why.
19) YES
or
NO
x
-3
-2
0
1
4
Why?
21) YES
or
NO
x
y
-3
Why?
10
23) YES
or
NO
y
3
3
4
4
4
-2
-1
1
0
2
{(6, 3), (5, 2), (2, -3), (12,
-12)}
Why?
20) YES
or
NO
x
-4
-4
-4
4
4
Why?
22) YES
or
NO
Why?
24) YES
or
NO
x
-2
-3
-6
0
2
y
3
2
1
0
-2
y
0
{(4, 5), (3, -2), (-2, 5), (4,
7)}
Why?
If f(x) = 4x + 2 and g(x) = x2 – 2x, find each value.
25) ____________
f(-4) = _?_
26) ___________
g(4) = _?_
27) ____________
f(6) = _?_
28) ____________
g(-3) = _?_
Use the graph below to answer the questions that follow.
29)
List the ordered pairs of
the relation.(from left to right)




30) D =
What is the domain of
the relation?
31) R =
What is the range of the
relation?
32)
Is the relation a
function? Why or why
not?




Previous Unit Questions
Solve each inequality and graph the solution. Write the solution using interval
notation.
33. Solve and graph 2x + 4 > -2 or -2x + 5 > 15
_____________________
34. Solve and graph -11 < 3x – 2 < 16
_____________________
35. Solve and graph x  4  9
_____________________