Jawaban Yang Paling Tepat

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| By Tyasardhi

Tyasardhi

Community Contributor

Quizzes Created: 2 | Total Attempts: 467

Questions: 5 | Attempts: 211 | Updated: Jul 22, 2024

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Pilihlah satu jawaban yang paling tepat!

Questions and Answers

1.

Gradien garis yang melalui titik A(-4, 7) dan B(2, -2) adalah ...
- A.
- B.
- C.
- D.
Correct Answer
D.

Explanation
The gradient of the line passing through points A(-4, 7) and B(2, -2) can be calculated using the formula: gradient = (change in y)/(change in x). Therefore, the change in y is -2 - 7 = -9 and the change in x is 2 - (-4) = 6. Thus, the gradient is -9/6 = -3/2.

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2.

Gradien dari garis dengan persamaan 4x + 5y - 6 = 0 adalah ...
- A.
- B.
- C.
- D.
Correct Answer
C.

Explanation
The gradient of a line can be found by rearranging the equation into the form y = mx + c, where m is the gradient. In this case, rearranging the equation 4x + 5y - 6 = 0 gives 5y = -4x + 6, which can be further simplified to y = (-4/5)x + 6/5. Therefore, the gradient of the line is -4/5.

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3.

Persamaan garis yang melalui titik (5, -5) dan (-5, 1) adalah ...
- A.
  
  3x + 5y - 10 = 0
- B.
  
  3x + 5y + 10 = 0
- C.
  
  5x + 3y - 10 = 0
- D.
  
  5x + 3y + 10 = 0
Correct Answer
B. 3x + 5y + 10 = 0

Explanation
The equation of the line passing through the points (5, -5) and (-5, 1) is 3x + 5y + 10 = 0. This can be determined by using the point-slope form of a linear equation, which is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope. By substituting the given points into the equation, we can find that the slope is -2/2 = -1. Then, by substituting one of the points and the slope into the point-slope form, we get the equation 3x + 5y + 10 = 0.

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4.

Persamaan garis yang melalui titik (0 -2) dan bergradien adalah ...
- A.
  
  3x - y - 2 = 0
- B.
  
  3x - 4y - 2 = 0
- C.
  
  3x - 4y - 8 = 0
- D.
  
  3x + 4y - 8 = 0
Correct Answer
C. 3x - 4y - 8 = 0

Explanation
The correct answer is 3x - 4y - 8 = 0. This equation represents a line that passes through the point (0, -2) and has a gradient of 3/4. The equation is in the standard form of a linear equation, where the coefficients of x, y, and the constant term are 3, -4, and -8 respectively.

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5.

Gambar yang menunjukkan garis dengan persamaan adalah ...
- A.
- B.
- C.
- D.
Correct Answer
A.