Straight Line MCQs ECAT
MCQs Mathematics ECAT, get ready for your ECAT test preparation with Alsaudia Virtual Academy well experienced Math tutors.
MCQs Mathematics ECAT – Set 1
- What is the equation of a straight line in slope-intercept form?
a) y = mx + c
b) x = my + c
c) y = cx + m
d) x = cy + m
Answer: a) y = mx + c
- Which of the following is the slope of a horizontal line?
a) 0
b) 1
c) -1
d) Undefined
Answer: a) 0
- Which of the following represents a vertical line?
a) y = 2x + 3
b) y = -3
c) x = 4
d) y = -x
Answer: c) x = 4
- What is the slope of a line parallel to the y-axis?
a) 0
b) 1
c) -1
d) Undefined
Answer: d) Undefined
- If two lines are perpendicular, what is the relationship between their slopes?
a) Their slopes are equal.
b) Their slopes are reciprocals of each other.
c) Their slopes are negative reciprocals of each other.
d) Their slopes have no relationship.
Answer: c) Their slopes are negative reciprocals of each other.
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- Which of the following is the point-slope form of a straight line equation?
a) y = mx + c
b) y – y₁ = m(x – x₁)
c) (y – y₁)² = m(x – x₁)
d) (y – y₁)³ = m(x – x₁)
Answer: b) y – y₁ = m(x – x₁)
- What is the x-intercept of a line represented by the equation y = 3x + 2?
a) (2, 0)
b) (0, 2)
c) (-2, 0)
d) (0, -2)
Answer: c) (-2, 0)
- Which of the following equations represents a line with a negative slope?
a) y = 2x + 5
b) y = -3x + 1
c) y = x² – 2x + 3
d) y = 4
Answer: b) y = -3x + 1
- What is the y-intercept of a line represented by the equation 2x – 3y = 6?
a) (2, 0)
b) (0, 2)
c) (0, -2)
d) (0, -2)
Answer: b) (0, -2)
- Which of the following statements is true about parallel lines?
a) They have the same y-intercept.
b) They have the same slope.
c) They intersect at a right angle.
d) They have opposite slopes.
Answer: b) They have the same slope.
Also, MCQs Mathematics ECAT – Set-2
- Which of the following equations represents a straight line?
a) y = x^2
b) y = 2x + 3
c) y = √x
d) y = sin(x)
Answer: b) y = 2x + 3
2. What is the slope of a vertical line? a) 0
b) 1
c) Undefined
d) Infinity
Answer: c) Undefined
3. Which of the following statements is true for two parallel lines?
a) They have the same slope.
b) They intersect at one point.
c) They have different slopes.
d) They have a negative slope.
Answer: a) They have the same slope.
4. What is the equation of a horizontal line passing through the point (0, 5)?
a) y = 0
b) y = 5
c) x = 5
d) x = 0
Answer: b) y = 5
5. If the equation of a line is y = -2x + 4, what is the slope of the line?
a) -4
b) -2
c) 2
d) 4
Answer: b) -2
Excel your Test Preparation
6. What is the equation of a line parallel to the line 3x – 4y = 7 and passing through the point (2, 5)?
a) 4x – 3y = 7
b) 4x + 3y = 7
c) 3x – 4y = 5
d) 3x + 4y = 7
Answer: b) 4x + 3y = 7
7. What is the distance between the points (1, 2) and (4, 6) on a straight line?
a) √17
b) √22
c) 5
d) 4
Answer: c) 5
8. If two lines are perpendicular to each other, what is the product of their slopes?
a) 0
b) 1
c) Undefined
d) Infinity
Answer: a) 0
9. What is the y-intercept of the line represented by the equation 2x + 3y = 9?
a) 2
b) 3 c) 9 d) -3
Answer: b) 3
10. If the slope of a line is 0, what can be said about the line?
a) It is horizontal.
b) It is vertical.
c) It is inclined.
d) It is parallel.
Answer: a) It is horizontal.
Another, MCQs Mathematics ECAT, Set 3
- What is the slope-intercept form of the equation of a straight line?
a) y = mx + b
b) y = ax^2 + bx + c
c) y = mx – b
d) y = a^x
Answer: a) y = mx + b
2. Which of the following is the slope of a vertical line?
a) 0 b) 1
c) Undefined
d) Infinity
Answer: c) Undefined
3. Two lines are parallel if and only if their slopes are:
a) Equal
b) Perpendicular
c) Undefined
d) Negative
Answer: a) Equal
4. What is the standard form of the equation of a straight line?
a) y = mx + b
b) y = ax^2 + bx + c
c) Ax + By = C
d) y = a^x
Answer: c) Ax + By = C
5. The equation of a line passing through the point (3, 4) with a slope of 2 is:
a) y = 2x + 1
b) y = 2x – 2
c) y = 4x + 3
d) y = -2x + 10
Answer: b) y = 2x – 2
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6. Which of the following equations represents a horizontal line?
a) y = -3x + 2
b) y = 5
c) y = x^2 + 3
d) y = 2x – 1
Answer: b) y = 5
7. The equation of a line parallel to the x-axis is:
a) y = 0
b) x = 0
c) y = x
d) x = y
Answer: a) y = 0
8. What is the slope of a line perpendicular to a line with slope m?
a) -m
b) m
c) 1/m
d) -1/m
Answer: d) -1/m
9. The distance between two parallel lines is measured along a line perpendicular to them. True or False?
a) True
b) False
Answer: a) True
10. If two lines are perpendicular to each other, the product of their slopes is:
a) -1
b) 0
c) 1
d) Undefined
Answer: a) -1
