Find the slope of the line that passes through (4,2) and (9,1)?

Question

Find the slope of the line that passes through (4,2) and (9,1)?

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Gerda 4 years 2021-08-27T06:57:27+00:00 2 Answers 14 views 0

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  1. Maris
    0
    2021-08-27T06:58:34+00:00
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    Answer:

    The slope of the line is \displaystyle -\frac{1}{5}.

    Step-by-step explanation:

    We are given two coordinate points:

    • (4, 2)
    • (9, 1)

    We are asked to find the slope of the line.

    We can use the rise-over-run formula to solve for the slope of the line.

    \displaystyle \text{slope} = \frac{\text{rise}}{\text{run}}\\\\\text{slope} = \frac{y_2-y_1}{x_2-x_1}

    However, we firstly need to name our coordinate points.

    In math, we can label our coordinates using the following label system:

    (x_1, y_1), (x_2, y_2)

    Therefore, we can also label our coordinates as such:

    • x_1 = 4
    • y_1 = 2
    • x_2 = 9
    • y_2 = 1

    Now, we can supply these values into the formula and solve for our slope, or a better known variable, m.

    \displaystyle m = \frac{1 - 2}{9 - 4}\\\\m = \frac{-1}{5}\\\\m = -\frac{1}{5}

    Therefore, our slope is \displaystyle -\frac{1}{5}.

  2. ngocdiep
    0
    2021-08-27T06:58:48+00:00
    Reply

    Answer: m= -1/5

    Step-by-step explanation:

    Find the Slope (4, 2) and (9, 1)

    Slope is equal to the change in y over the change in x, or rise over run.

                  change in y

         m =    _________

                  change in x

    The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise).        y₂ − y₁

         m =   _____

                  x₂ − x₁

    Substitute in the values of x and y into the equation to find the slope.

                  1 − (2)

         m =   _____

                  9 − (4)

    Simplify the numerator.

                    −1

         m =   _____

                  9 − (4)

    Simplify the denominator.

                    −1

         m =   _____

                     5

    Move the negative in front of the fraction.

                    −1

         m =   _____

                   − 5

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )