Anonymous
Anonymous asked in Science & MathematicsMathematics · 1 month ago

Find an equation for the line that passes through the points (−5,-3) and (3, 3)?

8 Answers

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  • 1 month ago
    Favorite Answer

    solving for the slope

    m = (y₂ - y₁ )/(x₂ - x₁)

    m = [3 - (-3)]/[3 - (-5)]

    m = (3 + 3)/(3 + 5)

    m = 6/8 or 3/4

    apply point slope form

    y - y₁ = m(x - x₁)

    y - (-3) = 3/4[x - (-5)]

    y + 3 = 3/4(x + 5)

    4(y + 3) = 3(x + 5)

    4y + 12 = 3x + 15

     4y = 3x + 15 - 12

     4y = 3x + 3

     y = 3/4x + 3/4 answer//

    The equation of the line is y = 3/4x + 3/4 

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  • 1 month ago

    y- - 3 = (3--3)/(3--5)(x - -5)

    y + 5 = (6)/(8)(x + 5)

    y + 5 = )3/4)(x + 8)

    y + 5 = 3x/4 + 24/4

    y = 3x/4 + 6 - 5

    y = 3x/4 + 1

    or

    4y = 3x + 4

    or

    4y -3x = 1

    or

    4y - 3x - 1 = 0

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  • Philip
    Lv 6
    1 month ago

    A(-5,-3), B(3,3). Slope AB = (3+3)/(3+5) = (3/4).

    Let line L: y = (3/4)x + b...(1). B is on L. Therefore

    3 = (3/4)3 +b, ie., b =3[1-(3/4)] = 3(1/4) = (3/4).

    Then L: y = (3/4)x + (3/4) {slope, y-intercept} or

    L: 3x -4y +3 = 0 {standard}.

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  • David
    Lv 7
    1 month ago

    Points: (-5, -3) and (3, 3)

    Slope: 3/4 or 0.75

    Equation: y = 0,75x +0.75

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  • MyRank
    Lv 6
    1 month ago

    A(-5, -3), B(3, 3)

    y - y₁ = y₂-y₁/x₂-x₁ (x-x₁)

    y-(-3) = 3-(-3) / 3-(-5) (x+5)

    y+3 = 6/8 (x+5)

    y+3 = ¾ (x+5)

    4(y+3) = 3(x+5)

    4y + 12 = 3x + 15

    3x-4y+3 = 0

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  • 1 month ago

    (3--3)x - (3--5)y = 3×-5 - 3×-3 which is 6x - 8y = -6 which simplifies to 3x - 4y = -3.

    Source(s): An equation of the line through the points (x₁,y₁) and (x₂,y₂) is (y₁-y₂)x - (x₁-x₂)y = y₁×x₂ - x₁×y₂
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  • rotchm
    Lv 7
    1 month ago

    Apply the exact same reasoning already given to you numerous times in:

    https://ca.answers.yahoo.com/question/index?qid=20...

    Show your steps here if need be & we then can further help you.

    Hopefully no one will spoil you the answer thereby depriving you from your personal enhancement; that would be very inconsiderate of them. 

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  • GTB
    Lv 7
    1 month ago

    m = (y2-y1)/(x2-x1) = (3 - -3)/(3- -5) = 6/8 = 3/4

    so y = (3/4)x + b and b therefore = y-(3/4)x and you enter the values of one ordered pair for x and y and you have b, you can do that; now you have the equation

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