Write an equation in standard form for a line that goes through the points(5,1) and (7,-3).

Question

Write an equation in standard form for a line that goes through the points(5,1) and (7,-3).

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Abigail 3 weeks 2021-09-08T08:10:45+00:00 1 Answer 0

Answers ( )

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    2021-09-08T08:12:06+00:00

    Answer:

    Equation of line =

    y = -2x + 11

    Step-by-step explanation:

    Using the formula for equation of a line with two points

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

    Using the points we are provided with

    ( 5,1)(7,-3)

    x_1 = 5

    y_1 = 1

    x_2 = 7

    y_2 = -3

    Inserting those values

    ( -3 – 1) / (7 – 5) = (y – 1) / (x – 5)

    -4/2 = (y – 1) / (x – 5)

    Cross multiply

    -4(x – 5) = 2 ( y – 1)

    Open the brackets

    -4x + 20 = 2y – 2

    -4x +20 +2 = 2y

    -4x + 22 = 2y

    Divide through by 2 to get the value of y following the rules

    y = mx + C

    -4x + 22 = 2y

    -4x + 22 / 2 = 2y/2

    -4x + 22 / 2 = y

    We can still separate

    -4x / 2 + 22/ 2 = y

    -2x + 11 = y

    y = -2x + 11

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