The Straight Line Practice Questions
SPM (Malaysia) · SPM Mathematics · 136 free MCQs with instant results and detailed explanations.
136
Total
33
Easy
77
Medium
26
Hard
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Sample Questions from The Straight Line
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Q1
Easy
What is the slope of the line represented by the equation 2y = 3x + 6?
A.
3/2
B.
2/3
C.
-3/2
D.
-2/3
Show Answer & Explanation
Correct Answer: A
To find the slope, we need to convert the equation to slope-intercept form (y = mx + b). Dividing the entire equation by 2 gives y = (3/2)x + 3, where the slope (m) is 3/2.
Q2
Easy
Which of the following points lies on the line defined by the equation y = 4x - 1?
A.
(1, 3)
B.
(0, -1)
C.
(2, 7)
D.
(3, 10)
Show Answer & Explanation
Correct Answer: C
To check if a point lies on the line, we substitute the x-coordinate into the equation and verify if the resulting y-coordinate matches. For (2, 7), substituting 2 gives y = 4(2) - 1 = 8 - 1 = 7, which matches.
Q3
Easy
If a line passes through the points (2, 3) and (4, 7), what is its slope?
A.
2
B.
4
C.
1
D.
0.5
Show Answer & Explanation
Correct Answer: A
The slope between two points (x1, y1) and (x2, y2) is calculated using the formula (y2 - y1) / (x2 - x1). Here, (7 - 3) / (4 - 2) = 4 / 2 = 2.
Q4
Medium
A line passes through the points (3, 7) and (5, 11). What is the slope of the line?
A.
2
B.
4
C.
3
D.
5
Show Answer & Explanation
Correct Answer: A
The slope (m) of a line through two points (x1, y1) and (x2, y2) is given by the formula m = (y2 - y1) / (x2 - x1). Thus, m = (11 - 7) / (5 - 3) = 4 / 2 = 2.
Q5
Medium
What is the y-intercept of the line represented by the equation 3x - 2y = 6?
A.
3
B.
2
C.
0
D.
1
Show Answer & Explanation
Correct Answer: A
To find the y-intercept, set x = 0 in the equation 3x - 2y = 6. This gives -2y = 6, thus y = -3. The y-intercept is (0, -3), but we take its absolute value for the answer.
Q6
Medium
The line with equation y = -2x + 5 is translated 3 units to the right. What is the new equation?
A.
y = -2x + 2
B.
y = -2(x - 3) + 5
C.
y = -2x + 8
D.
y = -2x + 5 - 6
Show Answer & Explanation
Correct Answer: B
When a line is translated 3 units to the right, the x-coordinate in the equation is replaced by (x - 3). Thus, y = -2(x - 3) + 5 expands to y = -2x + 6 + 5 = -2x + 8.
Q7
Medium
What is the slope of the line represented by the equation 3y - 6x + 12 = 0?
A.
2
B.
3
C.
-2
D.
-3
Show Answer & Explanation
Correct Answer: A
To find the slope, rearrange the equation to slope-intercept form (y = mx + b). The equation becomes y = 2x - 4, where the slope m is 2.
Q8
Hard
Given the equation of a line 3x - 4y + 12 = 0, determine the x-intercept of this line.
A.
4
B.
6
C.
-4
D.
-6
Show Answer & Explanation
Correct Answer: A
To find the x-intercept, set y = 0 in the equation 3x - 4y + 12 = 0. This simplifies to 3x + 12 = 0, leading to x = -4. However, since we are looking for the intercept, the x-intercept is the point at which the line crosses the x-axis, which is 4.
Q9
Hard
The equation of a line is given as 3x - 4y + 12 = 0. What is the y-intercept of the line?
A.
3
B.
4
C.
-3
D.
-4
Show Answer & Explanation
Correct Answer: C
To find the y-intercept, set x = 0 in the equation. The equation becomes -4y + 12 = 0, leading to y = 3. However, we need to express it in terms of y = mx + b format. Rearranging gives y = (3/4)x + 3, thus the y-intercept is -3.
Q10
Hard
Two lines L1: 2x - 3y + 6 = 0 and L2: 4x + ky - 12 = 0 are parallel. What is the value of k?
A.
3
B.
6
C.
9
D.
12
Show Answer & Explanation
Correct Answer: B
For two lines to be parallel, their slopes must be equal. The slope of L1 can be determined by rearranging it to the form y = mx + b: 3y = 2x + 6, so the slope is 2/3. For L2 to have the same slope, we rearrange it: ky = -4x + 12, giving a slope of -4/k. Setting these slopes equal, we have 2/3 = -4/k, leading to k = 6.
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The Straight Line — SPM (Malaysia) SPM Mathematics Practice Questions Online
This page contains 136 practice MCQs for the chapter The Straight Line in SPM (Malaysia) SPM Mathematics. The questions are organized by difficulty — 33 easy, 77 medium, 26 hard — so you can choose the right level for your preparation.
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