Review: The Straight Line
Multiple Choice
2
3
x ?
3
4
3
2
b)
c)
4
3
1. What is the slope of the line y 
3
4
a)
2.
d)
2
3
Which point is on the line 3x – 5y – 9 =0 ?
a) (-4,-1)
b) (1,-2)
c) (-3,-2)
d) (-2,-3)
3. What is the value of the parameter “b” so that the point (2,3) is on the line 4x + by –23 = 0?
a) 5
b) -5
c) 3
d) -3
4. What is the y intercept of the line 5x – 3y + 30 = 0?
a) -6
b) 10
c) 6
d) -10
5. What is the slope of any line perpendicular to the line given by 4x + 5y – 16 = 0 ?
a)
4
5
b)
5
4
6. Which point is on the line
a) (2,2)
7.
c)
y
b) (-6,-4)
5
4
d)
3
x 2 ?
4
c) (-4,5)
4
5
d) (-3,-1)
What is the slope of every line parallel to the line 7x – 5y + 35 = 0?
a) –5/7
c) –7/5
b) 5/7
d) 7/5
8. What is the y intercept of the line y = -3 + 4x?
a) -3
b) 4
c) 3
d) -4
9. Which of the following lines is the steepest?
a) y 
2
x 1
5
b) y 
7
x 5
8
c) 2x  3y  6  0
d) 11x – 12y + 1 = 0
10. Which of the following lines runs downhill from left to right?
a) y = 2x - 3
b) 5x + 2y –1 = 0
c) x + 4 = 0
d) x – y + 1 = 0
11. Which of the following lines has an undefined slope?
a) x + 5 = 0
b) x + y –1 = 0
c) x – 1 = 0
d) y – 3 = 0
12. Which line is parallel to the line x – 6 = 0?
a) x = -2
b) y = 5
c) y = 2x + 3
d) y –1 = 0
13. For what value of “t” is the point (-2 , t) on the line 2x + 3y – 8 =0?
a) –4
b) –3
c) 4
d) –4
14. What is the x intercept of the line y = -3x + 9?
a) –3
b) 9
c) 3
d) –9
15. What is the x intercept of the line -5x + 8y –2 = 0?
a) 2/5
b) -8/5
c) 5/8
d) –2/5
Numerical Responses. An answer sheet for these questions is found on the bottom of this page.
Place the numbers and decimals in the blanks beginning at the left. Then color in the bubbles
underneath each blank.
1. To the nearest tenth, what is the slope of 5x – 3y + 1 = 0?
2. To the nearest tenth, what is the x intercept of 15.6x – 7.1y – 19.7 = 0?
2.
Use regression to find the slope of the line joining the points (0.5 , -0.15) , (1.2 ,4.12) ,
(-3.1 , -22.11) , (-0.9 , -8.69). Round to the nearest tenth.
4. Find the y intercept of the line 42x – 21y + 52 = 0. Round to the nearest whole number.
5. Calculate the value of “c” if (-2 , -5) is on the line 3x + 4y + c = 0.
Written Responses.
1. a) Plot the lines
y
2
x  2 and 5x – 3y + 15 = 0 on the grid below.
3
b) Plot the lines y = -3 and x – 4 = 0 on the grid below.
c) Through the point (-4 , -1) draw a line perpendicular to y 
2
x 2.
3
2. Find the equation of the line through the points ( -2 , 4) and (4 , 6) in both general and
standard forms.
3. Find the equation of the line through (2 , -4) which is perpendicular to the line 3x + 5y - 2 = 0.
Use the standard form.
4. Find the equation of the line through (-1 , 4) having the same x intercept as the line
4x – 2y + 8 =0. Use general form.
Answers:
Multiple Choice: 1) c 2) d 3) a 4) b 5) b 6) c
11) d 12) a 13) c 14) c 15) d
Numerical Response: 1) 1.7
2) 1.3 3) 6.1
7) d
8) a
9) d
10) b
4) 2 5) 26
Written Response: 2) x – 3y +14 = 0 and y = (1/3)x + (14/3) 3) y = (-5/3)x – (2/3)
4) 4x – y + 8 =0