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Complete the equation of the line through (-6,5) and (-3,-3) Use exact numbers. y=

  • choixongdong: (-6,5) and (-3,-3) 
    slope = (5+3)/(-6 + 3) = 8/-3 = -8/3

    y = mx + b
    b = y - mx
    b = -3 - (-8/3)(-3)
    b = -3 - 8
    b = -11

    equation
    y = -8/3 x - 11

    hope it helps
  • jainveenamrata:

    The equation of the line passing through the points (-6,5) and (-3,-3) will be y = -(8/3)x - 11.

    What is the equation of a line passing through two points?

    Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).

    Then the equation of the line is given as,

    [tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]

    The points are given below.

    (-6,5) and (-3,-3)

    Then the equation of the line passing through the points (-6,5) and (-3,-3) will be

    [tex]\rm (y + 3) = \left (\dfrac{-3-5}{-3+6} \right ) (x + 3)[/tex]

    Simplify the equation, then the equation of the line will be

    y + 3 = -(8/3)(x + 3)

    y = -(8/3)x - 8 - 3

    y = -(8/3)x - 11

    Then the equation of the line passing through the points (-6,5) and (-3,-3) will be y = -(8/3)x - 11.

    More about the line passing through two points link is given below.

    https://brainly.com/question/12740817

    #SPJ2

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