The points (4,1) and (x,-6) lie on the same line. If the slope of the line is 1, what is the value of X?

3 Answers

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  • 2 years ago

    The following equation is used to determine the slope of a line.

    Slope = (y2 – y1) ÷ (x2 – x1)

    1 = -7 ÷ (x2 – 4)

    x2 – 4 = -7

    x2 = -3

    I hope this is helpful for you.

  • Como
    Lv 7
    2 years ago

    :-

    1 = ( - 7 ) / ( x - 4 )

    x - 4 = - 7

    x = - 3

  • 2 years ago

    How to get the equation of the line that passes through A (4 ; 1) B (x ; - 6) ?

    The typical equation of a line is: y = mx + y₀ → where m: slope and where y₀: y-intercept

    m = (yB - yA) / (xB - xA)

    m = (- 6 - 1) / (x - 4)

    m = - 7/(x - 4) → given that it's 1

    - 7/(x - 4) = 1

    - 7 = x - 4

    - 7 + 4 = x

    x = - 3 ← this is the abscissa of the point B

    To go further.

    As the slope of the line (AB) is (1), the equation of the line (AB) becomes: y = x + y₀

    The line (AB) passes through A, so these coordinates must verify the equation of the line (AB).

    y = x + y₀

    y₀ = y - x → you substitute x and y by the coordinates of the point A (4 ; 1)

    y₀ = 1 - 4

    y₀ = - 3

    → The equation of the line (AB) is: y = x - 3

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