Which of the following is an equation of the line through (2,3) and (-1,-12)

Question

Which of the following is an equation of the line through (2,3) and (-1,-12)

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Eden 3 weeks 2021-09-11T03:13:09+00:00 1 Answer 0

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    2021-09-11T03:14:34+00:00

    Answer:

    y = 5x – 7

    Step-by-step explanation:

    Using the equation of a line with two points

    y_2 – y_1 / x_2 – x_1 = y – y_1 / x – x_1

    Giving two points

    ( -4 , 10)(16 , -2)

    x_1 = -4

    y_1 = 10

    x_2 = 16

    y_2 = -2

    Using the above formula

    y_2 – y_1 / x_2 – x_1 = y – y_1 / x – x_1

    -12 – 3 / -1 – 2 = y – 3 / x – 2

    -15/-3 = y – 3 /x – 2

    Cross multiply

    -15(x – 2) = -3(y – 3)

    -15x + 30 = -3y + 9

    -15x + 30 + 3y – 9 = 0

    -15x +30 – 9 + 3y = 0

    -15x + 21 + 3y = 0

    3y = 15x – 21 ( following y = mx + C

    Dividing through by 3 to find y

    3y/3 = 15x -21 / 3

    y = 15x – 21 / 3

    We can still separate

    y = 15x / 3 – 21/3

    y = 5x – 7

    Therefore, the equation of the line is

    y = 5x – 7

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