write an equation for a line to pass through the point (2,3) and has a slope of -4

Question

write an equation for a line to pass through the point (2,3) and has a slope of -4

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5 days 2021-09-11T07:31:57+00:00 1 Answer 0

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    2021-09-11T07:33:52+00:00

    Answer:

    y = -4x + 11

    Step-by-step explanation:

    Equation of a line is

    y – y_1 = m ( x – x _1)

    We are provided

    Slope = m = -4

    Points = (x _1 , y_1) = (2, 3)

    Insert the values

    y – y_1 = m( x – x_1)

    y – 3 = -4(x – 2)

    Open the bracket with -4

    y – 3 = -4x + 8

    y – 3 -8 = -4x

    y – 11 = -4x

    Following this equation of a line

    y = mx + C

    y – intercept point y

    m – slope

    x – intercept point x

    C – intercept of the line

    y – 11 = -4x

    y = -4x + 11

    Therefore, the equation of the line is

    y = -4x + 11

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