Complete the equation of the line through (-10,3)and (-8,-8) Use exact numbers.

Question

Complete the equation of the line through (-10,3)and (-8,-8)
Use exact numbers.

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Sophia 2 months 2021-10-05T15:36:24+00:00 1 Answer 0 views 0

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    2021-10-05T15:38:21+00:00

    Answer:

    The equation of the line is y = -\frac{11}{2} x – 52

    Step-by-step explanation:

    The form of the linear equation is y = m x + b, where

    • m is the slope of the line
    • b is the y-intercept (y at x = 0)

    The formula of the slope is m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

    ∵ The line passes through the points (-10 , 3) and (-8 , 8)

    x_{1} = -10 and x_{2} = -8

    y_{1} = 3 and y_{2} = -8

    – Substitute them in the formula of the slope

    m=\frac{-8-3}{-8--10}=\frac{-11}{2}

    m = -\frac{11}{2}

    ∵ The form of the equation is y = m x + b

    ∴ y = -\frac{11}{2} x + b

    – To find b substitute x and y in the equation by the coordinates

       of any point on the line

    ∵ x = -8 and y = -8

    ∴ -8 = -\frac{11}{2} (-8) + b

    ∴ -8 = 44 + b

    – Subtract 44 from both sides

    -52 = b

    ∴ y = -\frac{11}{2} x + (-52)

    ∴ y = -\frac{11}{2} x – 52

    The equation of the line is y = -\frac{11}{2} x – 52

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45:7+7-4:2-5:5*4+35:2 =? ( )