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Mathematics for IGCSE & O level - Coordinate Geometry (Section 2)

1
What is the gradient of a horizontal line?
Answer
(A)
0
2
If the equation of a line is y = 4x + 1, at what point does it cross the y-axis?
Answer
(C)
(0, 1)
3
If line A has equation y = 3x - 2, which lines are parallel to line A?
Answer
A
C
4
What is the y-intercept of the line y = -x + 7?
Answer
(B)
7
5
Find the gradient of the line that passes through the points (2, -1) and (4, 3).
Answer
(B)
2
6
What statements are true about the line passing through points (1, -2) and (3, 2)?
Answer
A
B
C
D
7
Which of the following points lies on the line y = 2x - 1?
Answer
(A)
(1, 1)
8
What is the x-intercept of the line represented by the equation y = 2x - 6?
Answer
(B)
3
9
What is the distance between the points (1, 1) and (4, 5)?
Answer
(C)
5
10
Find the midpoint of the line segment with endpoints (2, -1) and (6, 3).
Answer
(A)
(4, 2)
11
The equation of a line parallel to y = -2x + 1 would have which gradient?
Answer
(B)
-2
12
What is the formula to calculate the midpoint of a line segment with endpoints (x1, y1) and (x2, y2)?
Answer
(B)
((x1 + x2)/2, (y1 + y2)/2)
13
What is the slope of a horizontal line?
Answer
(C)
0
14
If a line passes through (0, 4) and has a gradient of 2, what is the equation of the line?
Answer
(B)
y = 2x + 4
15
Find the midpoint of a line segment with endpoints (-1, 4) and (3, 8).
Answer
(A)
(1, 6)
16
What is the x-intercept of the line defined by the equation y = 3x + 6?
Answer
(B)
-2
17
If the midpoint of a line segment AB is (3, 5) and point A is (1, 2), what are the coordinates of point B?
Answer
B
D
18
In the equation y = x + 4, the y-intercept is:
Answer
(B)
4
19
A line has a gradient of 2 and passes through the point (1, 3). What is the equation of this line?
Answer
(A)
y = 2x + 1
20
Which of the following equations is perpendicular to the line y = (2/5)x - 3?
Answer
(B)
y = -(5/2)x + 1
21
The equation of a horizontal line is represented by:
Answer
(B)
y = c
22
Determine the y-intercept of the line represented by the equation 4x - 2y = 8.
Answer
(B)
-4
23
The line y = 4 intersects the y-axis at which point?
Answer
(B)
(0, 4)
24
What is the slope of a line parallel to the line y = (1/4)x + 2?
Answer
(C)
1/4
25
What is the relationship between the gradients of two perpendicular lines?
Answer
(D)
Their product is -1.
26
If the equation of a line is 2x + 3y = 6, which of the following is correct?
Answer
A
B
C
27
Which of the following accurately represents the relationship between two perpendicular lines?
Answer
B
D
28
Which of the following statements about the equation of a straight line, y = mx + c, are true?
Answer
B
C
D
29
Which of the following statements about a line segment is true?
Answer
(B)
It is the part of a line between two points.
30
If two lines are perpendicular, and the gradient of one line is -1/2, what is the gradient of the other line?
Answer
(B)
2
31
The slope of the line 5x - 2y = 10 is:
Answer
(B)
5/2
32
Which of the following equations is parallel to the line 2x + y = 5?
Answer
(B)
y = -2x + 1
33
Which of the following is true about the line represented by the equation 2x - 3y = 6?
Answer
A
B
C
34
The equation of a line is y = 5x - 2. What is the value of y when x = 0?
Answer
(B)
-2
35
What is the gradient of the line described by the equation 4x + 2y = 8?
Answer
(D)
-2
36
Given the equation y = -x + 3, what is the y-intercept?
Answer
(B)
3
37
A line segment has endpoints A(2, 4) and B(6, 8). Which statements are correct?
Answer
A
C
D
38
Which statements are true regarding the x-intercept of a line?
Answer
B
C
39
If a line has the equation 3x - y = 6, what is its x-intercept?
Answer
(B)
-2
40
What information do you need to determine the equation of a straight line?
Answer
A
B
C
41
What is the gradient of a line passing through the points (-1, 2) and (3, -2)?
Answer
(B)
-1
42
What is the gradient of the line x = 5?
Answer
(C)
Undefined
43
If the line segment has endpoints (3, 1) and (7, 4), what is its length?
Answer
(A)
5
44
If line AB has endpoints A(2, 3) and B(6, 5), what are the coordinates of the midpoint of AB?
Answer
(A)
(4, 4)
45
For a line segment with end points (0, 0) and (4, -3), what is the correct?
Answer
A
B
C
46
In the equation y = -4x + 7, what is the slope of the line?
Answer
(C)
-4
47
If two lines are perpendicular, and one line has a gradient of -4, what is the gradient of the other line?
Answer
(C)
1/4
48
Which of the following equations represents a vertical line?
Answer
(A)
x = 3
49
If the equation of a line is 2y = 4x - 6, what is the gradient?
Answer
(C)
2
50
For a line segment with endpoints P(1, 3) and Q(5, 7), which of the following statements are accurate?
Answer
A
B
C
D