What is the equation, in slope-intercept form, of the line parallel to -5x + y = 2 that passes through the point with coordinates (-2, 1)?

Question

What is the equation, in slope-intercept form, of the line parallel to -5x + y = 2 that passes through the point with coordinates (-2, 1)?

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Maris 3 years 2021-08-04T20:29:28+00:00 1 Answers 4 views 0

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    2021-08-04T20:31:03+00:00

    Answer:

    y = 5x + 11

    Step-by-step explanation:

    The equation of a line in slope- intercept form is

    y = mx + c ( m is the slope and c the y- intercept )

    Given

    – 5x + y = 2 ( add 5x to both sides )

    y = 5x + 2 ← in slope- intercept form

    with slope m = 5

    Parallel lines have equal slopes, then

    y = 5x + c ← is the partial equation

    To find c substitute (- 2, 1) into the partial equation

    1 = – 10 + c ⇒ c = 1 + 10 = 11

    y = 5x + 11 ← equation of parallel line

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