Linear Equation Quiz On Gradient, Slope & Intercepts

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| By Tyasardhi

Tyasardhi

Community Contributor

Quizzes Created: 1 | Total Attempts: 242

Questions: 15 | Attempts: 242 | Updated: Feb 2, 2024

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Linear Equation Quiz On Gradient, Slope & Intercepts - Quiz

Embark on a captivating journey with the "Linear Equation Quiz." This quiz is designed to challenge your understanding of linear equations, a fundamental concept in mathematics. Delve into the world of coordinates, slopes, and intercepts as you navigate through thought-provoking questions that unravel the mysteries of straight lines.
Whether you're a math enthusiast or seeking to strengthen your foundational knowledge, this quiz offers a dynamic and engaging experience. Sharpen your analytical skills, enhance problem-solving abilities, and gain confidence in manipulating linear equations. Each question serves as a stepping stone, guiding you through the intricacies of linear relationships. Unleash your Read moremathematical prowess and discover the beauty and logic behind straight lines in this educational and enjoyable quiz. Are you ready to unravel the secrets and master the art of linear equations? Let the exploration begin!

Linear Equation Questions and Answers

1.

For the line given by 4x-3y=9. Which of following statement is true?
- A.
  
  The line intersect the Y-axis at (0, -3)
- B.
  
  The line intersect the Y-axis at (6, 0)
- C.
  
  The line intersect the X-axis at (-6, 0)
- D.
  
  The line intersect the X-axis at (0, 3)
Correct Answer
A. The line intersect the Y-axis at (0, -3)
2.
- A.
- B.
- C.
- D.
Correct Answer
C.
3.

The gradient of a line through the points O and T(2, 5) is ...
- A.
  
  2/5
- B.
  
  3/5
- C.
  
  5/3
- D.
  
  5/2
Correct Answer
D. 5/2

Explanation

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4.

The gradient of a line through the points (4, 2) and (2, 5) is ...
- A.
  
  -3/2
- B.
  
  3/2
- C.
  
  -2/3
- D.
  
  2/3
Correct Answer
A. -3/2

Explanation

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5.

Look at the picture! The gradient of the line h is ...
- A.
  
  2/3
- B.
  
  3/2
- C.
  
  1/3
- D.
  
  1/2
Correct Answer
B. 3/2
6.
- A.
  
  (i) and (ii)
- B.
  
  (ii) and (iii)
- C.
  
  (i) and (iii)
- D.
  
  (i), (ii), and (iii)
Correct Answer
B. (ii) and (iii)

Explanation
The statement (ii) is true because the line intersects the X-axis at (6,0). The statement (iii) is also true because the line intersects the Y-axis at the point (0, -3). Therefore, the correct answer is (ii) and (iii).

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7.

The equations for a line parallel to the line running through (2,1) and (3, 6) have a slope of
- A.
  
  5
- B.
  
  8
- C.
  
  3
- D.
  
  7
Correct Answer
A. 5
8.

The pairs of lines given by the following pairs of equations are perpendicularly intersect is ...
- A.
- B.
- C.
- D.
Correct Answer
B.
9.

The equation for a line running through (5, –5) and (–5, 1) is ...
- A.
- B.
- C.
- D.
Correct Answer
A.

Explanation

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10.

The equation for the line shown in the figure is ...
- A.
- B.
- C.
- D.
Correct Answer
A.
11.

The equation for a line shown in the figure is ...
- A.
- B.
- C.
- D.
Correct Answer
A.
12.

The equation for a line running through A(2, 1) and B(–2, –7) is ...
- A.
  
  Y=2x+3
- B.
  
  Y=3x-3
- C.
  
  Y=2x-3
- D.
  
  Y=3x-2
Correct Answer
C. Y=2x-3

Explanation

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13.

The equation for a line running through (–2, 1) and parallel to the line running through (4, 3) and (–2, –5) is ...
- A.
  
  2x-3y=11
- B.
  
  4x-3y=11
- C.
  
  3x-4y=11
- D.
  
  4x+3y=11
Correct Answer
B. 4x-3y=11

Explanation

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14.

A line k runs through (3, –4) and (–1, 2). A line l is perpendicular to the line k and running through (–4, –3). The equation for the line l is ...
- A.
  
  3x-2y=1
- B.
  
  2x-3y=1
- C.
  
  3x-y=2
- D.
  
  3x-3y=1
Correct Answer
B. 2x-3y=1

Explanation

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15.

The cost to be paid by passenger (y) when taking a taxi is expressed as a function a = the costs per distance 100 meters is Rp20000 x = the distance b = the cost for the first ride is Rp3.00000. One day Deni took a taxi for the first ride and reached the distance of 6500 meters so Deni had to pay ...
- A.
  
  Rp6.500,00
- B.
  
  Rp9.500,00
- C.
  
  Rp13.000,00
- D.
  
  Rp16.000,00
Correct Answer
D. Rp16.000,00

Explanation

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