– A line passing through D(5c, 10) and T[8,40]has a gradient of 3. Find the value of C​

Question

– A line passing through D(5c, 10) and T[8,40]has a gradient of 3. Find the value of C​

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Orla Orla 3 years 2021-08-07T01:50:50+00:00 1 Answers 5 views 0

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  1. thienhuong
    0
    2021-08-07T01:52:26+00:00
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    Answer:

    – 2/5

    Explanation:

    Data obtained from the question include

    x1 (x coordinate 1)= 5c

    x2 (x coordinate 2) = 8

    Δx (change in x coordinate) = x2 – x1 = 8 – 5c

    y1 (y coordinate 1) = 10

    y2 (coordinate 2) = 40

    Δy (change in y coordinate) = y2 – y1 = 40 – 10 = 30

    m (gradient) = 3

    The gradient is also called the slope and it is represented mathematically as:

    Gradient = (change in y coordinate)/(change in x coordinate)

    M = Δy/Δx

    3 = 30/ 8 – 5c

    Cross multiply to express in linear form as shown below:

    3(8 – 5c) = 30

    Clear the bracket

    24 – 15c = 30

    Collect like terms

    – 15c = 30 – 24

    – 15c = 6

    Divide both side by – 15

    c = 6/-15

    c = – 2/5

    Therefore, the value of c is – 2/5

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