Ecuación De LA Recta

Approved & Edited by ProProfs Editorial Team
The editorial team at ProProfs Quizzes consists of a select group of subject experts, trivia writers, and quiz masters who have authored over 10,000 quizzes taken by more than 100 million users. This team includes our in-house seasoned quiz moderators and subject matter experts. Our editorial experts, spread across the world, are rigorously trained using our comprehensive guidelines to ensure that you receive the highest quality quizzes.
Learn about Our Editorial Process
| By MJ PD
M
MJ PD
Community Contributor
Quizzes Created: 1 | Total Attempts: 187
Questions: 10 | Attempts: 187

SettingsSettingsSettings
Ecuaci�n De LA Recta - Quiz


Questions and Answers
  • 1. 

    Cuál de las siguientes opciones es la ecuación de la recta que representa a los puntos A(5,-2) B(2,4)

    • A.

      Y=2x-8

    • B.

      Y=4x+8

    • C.

      Y=-2x+8

    • D.

      Y=-4x+16

    Correct Answer
    C. Y=-2x+8
    Explanation
    The equation of a line can be determined using the slope-intercept form, which is y = mx + b, where m is the slope of the line and b is the y-intercept. To find the slope, we can use the formula (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of two points on the line. In this case, the slope is (-2 - 4) / (5 - 2) = -6 / 3 = -2. The y-intercept can be found by substituting the coordinates of one of the points into the equation and solving for b. Using point A (5, -2), we get -2 = -2(5) + b, which gives us b = 8. Therefore, the equation of the line is y = -2x + 8.

    Rate this question:

  • 2. 

    Cuál de las siguientes opciones es la ecuación de la recta que representa a los puntos A(4;5) B(1;-2)

    • A.

      Y=13-7x+3

    • B.

      -7x+3y+13=0

    • C.

      3y-7x=-13

    • D.

      Y=7x-13

    Correct Answer
    B. -7x+3y+13=0
    Explanation
    The correct answer is -7x+3y+13=0. This equation represents the line passing through points A(4,5) and B(1,-2). The equation is in the standard form of a linear equation, where the coefficients of x and y are -7 and 3 respectively. The constant term 13 represents the y-intercept of the line. Therefore, this equation accurately represents the line passing through the given points.

    Rate this question:

  • 3. 

    Cuál de las siguientes opciones es la pendiente de la recta que pasa por los puntos A(-3,2) B(7,-3)

    • A.

      Option 1

    • B.

      Option 2

    • C.

      Option 3

    • D.

      Option 4

    Correct Answer
    A. Option 1
    Explanation
    The correct answer is Option 1. To find the slope of a line passing through two points, we use the formula: slope = (y2 - y1) / (x2 - x1). In this case, the coordinates of point A are (-3,2) and the coordinates of point B are (7,-3). Plugging these values into the formula, we get: slope = (-3 - 2) / (7 - (-3)) = -5 / 10 = -1/2. Therefore, the slope of the line passing through points A and B is -1/2.

    Rate this question:

  • 4. 

    Cuál de las siguientes opciones es la ecuación de la recta que representa a los puntos A(0,6) B(-1,3)

    • A.

      Y=3x+6

    • B.

      Y=-3x-6

    • C.

      Y=6x-3

    • D.

      Y=6x+6

    Correct Answer
    A. Y=3x+6
    Explanation
    The equation of a straight line can be determined using the coordinates of two points on the line. In this case, the points A(0,6) and B(-1,3) are given. To find the equation, we can use the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept.

    First, we need to find the slope (m) using the formula (y2 - y1) / (x2 - x1). Substituting the coordinates of A and B, we get (3 - 6) / (-1 - 0) = -3 / -1 = 3.

    Next, we substitute the slope (m = 3) and the coordinates of one of the points (A) into the slope-intercept form. Using A(0,6), we have y = 3x + b. Substituting x = 0 and y = 6, we can solve for b: 6 = 3(0) + b, which gives us b = 6.

    Therefore, the equation of the line passing through points A(0,6) and B(-1,3) is y = 3x + 6.

    Rate this question:

  • 5. 

    La ecuación de la recta que pasa por los puntos A(-3;5) B(2;-4) es ________

    Correct Answer
    y=-1,8x-0,4 , y=9/5x-2/5
    Explanation
    The correct answer is y=-1,8x-0,4 , y=9/5x-2/5. This is because the equation of a line passing through two points can be determined using the slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. By calculating the slope between points A and B, we find that it is -1.8. Plugging this slope and the coordinates of point A into the equation, we can solve for the y-intercept, giving us y = -1.8x - 0.4. Similarly, using the slope between points A and B, which is 9/5, and the coordinates of point A, we can determine the y-intercept, resulting in y = 9/5x - 2/5.

    Rate this question:

  • 6. 

    La pendiente de la recta que pasa por tos puntos A(1;2) B(-2;5) es ________

    Correct Answer
    y=-x+3
    Explanation
    The correct answer is y=-x+3 because the equation of a line can be determined using the slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. To find the slope, we can use the formula (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of two points on the line. Substituting the given points A(1,2) and B(-2,5) into the slope formula, we get (-3) / (-3) = 1. Therefore, the slope of the line passing through A and B is 1. Since the line passes through the point (1,2), we can substitute these values into the slope-intercept form to find the equation of the line, which is y = -x + 3.

    Rate this question:

  • 7. 

    La pendiente de la recta que atraviesa los puntos A(3;5) B(2;8) es ________

    Correct Answer
    -3
    Explanation
    The slope of a line passing through two points (x1, y1) and (x2, y2) can be found using the formula (y2 - y1) / (x2 - x1). In this case, the points A(3,5) and B(2,8) are given. Plugging in the values, we get (8 - 5) / (2 - 3) = 3 / -1 = -3. Therefore, the slope of the line passing through the points A and B is -3.

    Rate this question:

  • 8. 

    Camila tiene una pelota de fútbol y se encuentra parada en un punto con una coordenada de (-4,-2) al patear la pelota esta cae en el punto (5,3), Indique cuál de las siguientes opciones es la ecuación de la recta que se obtiene cuando Camila va a recoger la pelota. 

    • A.

      10x-18y+4=0

    • B.

      Y=-5x-7

    • C.

      Y=-5x+9y-2

    • D.

      5x-9y+2=0

    Correct Answer
    D. 5x-9y+2=0
    Explanation
    The equation 5x-9y+2=0 represents the line that Camila follows to retrieve the ball. This can be determined by using the coordinates (-4,-2) and (5,3) to find the slope of the line, which is equal to -9/5. The equation of a line can be written in the form y = mx + b, where m is the slope and b is the y-intercept. By plugging in the slope and one of the given points, we can solve for the y-intercept, which is 2 in this case. Therefore, the equation of the line is 5x-9y+2=0.

    Rate this question:

  • 9. 

    La casa de Pedro se encuentra en un punto A(-5;2) y el supermercado en un punto B(1;4), Entonces la recta que se forma entre la casa de Pedro y el supermercado es y=-5x+8

    • A.

      True

    • B.

      False

    Correct Answer
    B. False
  • 10. 

    Sofía acaba de comprar un nuevo departamento, este se encuentra en el punto A(-2;2), ella actualmente vive en una casa en un punto B(2;5), Entonces la ecuación de la recta que se forma es -3x+4y-14=0

    • A.

      True

    • B.

      False

    Correct Answer
    A. True
    Explanation
    The given statement is true. The equation of the line formed by the points A(-2,2) and B(2,5) can be found using the slope-intercept form, which is y = mx + b. By rearranging the given equation -3x + 4y - 14 = 0, we can rewrite it as 4y = 3x + 14 and then divide both sides by 4 to get y = (3/4)x + 14/4. This equation represents a line with a slope of 3/4 and a y-intercept of 14/4, which matches the equation of the line passing through the points A and B. Therefore, the statement is true.

    Rate this question:

Quiz Review Timeline +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

  • Current Version
  • Mar 17, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Aug 12, 2020
    Quiz Created by
    MJ PD
Back to Top Back to top
Advertisement
×

Wait!
Here's an interesting quiz for you.

We have other quizzes matching your interest.