) Write the slope-intercept form of the equation of the line described by (−4, −5), parallel to y = −2x − 5.

Question

) Write the slope-intercept form of the equation of the line described by (−4, −5), parallel to y = −2x − 5.

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Latifah 4 years 2021-08-01T10:39:38+00:00 1 Answers 12 views 0

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  1. Dulcie
    0
    2021-08-01T10:41:16+00:00
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    Answer:

    y = – 2x – 13

    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 )

    y = – 2x – 5 ← is in slope- intercept form

    with slope m = – 2

    Parallel lines have equal slopes, thus

    y = – 2x + c ← is the partial equation

    To find c substitute (- 4, – 5) into the partial equation

    – 5 = 8 + c ⇒ c = – 5 – 8 = – 13

    y = – 2x – 13 ← equation of parallel line

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