1.
Write the standard form of a line for which the length of the normal segment to the origin is 7 and the normal makes an angle of 120° with the positive
x
-axis.
A.
x
+
y
+ 14 = 0
B.
x
-
y
+ 14 = 0
C.
x
+
y
+ 14 = 0
D.
x
-
y
- 14 = 0
Hint
2.
Write the equation 3
x
+ 4
y
- 10 = 0 in normal form.
A.
x
+
y
- 2 = 0
B.
x
+
y
+ 2 = 0
C.
x
+
y
- 2 = 0
D.
x
+
y
+ 2 = 0
Hint
3.
The point nearest to the origin on a line is at (-4,4). Find the standard form of the equation of the line.
A.
x
+
y
- 8 = 0
B.
x
-
y
+ 8 = 0
C.
x
+
y
- 4 = 0
D.
x
+
y
+ 8 = 0
Hint
4.
For the line given by the equation 5
x
- 7
y
+ 24, what is the length of the normal through the origin?
A.
2
B.
24
C.
D.
Hint
5.
For the line given by the equation 5
x
- 7
y
+ 24, what is the angle formed by the
x
-axis and the normal through the origin?
A.
126°
B.
144°
C.
36°
D.
54°
Hint