What is the equation of the line that passes through the point negative 7 comma 21 and is parallel to the line y equals 1-seventh x minus 56

Question

What is the equation of the line that passes through the point negative 7 comma 21 and is parallel to the line y equals 1-seventh x minus 56?

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Vân Khánh 3 years 2021-08-12T13:29:56+00:00 2 Answers 16 views 0

Answers ( )

  1. Nem
    0
    2021-08-12T13:31:17+00:00
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    Answer:

    Step-by-step explanation:

    y= -1/7 + 22

  2. huyenthanh
    0
    2021-08-12T13:31:53+00:00
    Reply

    Answer: y=-\frac{1}{7} x+22

    Step-by-step explanation:

    For a line to be parallel to another, it must have an equivalent slope.  The equation, y=-\frac{1}{7} x-56, is in slope-intercept form.  Thus, the slope of both lines must be -1/7.  Then, using the slope-intercept formula, plug in 7 for x and 21 for y to get:

    21=-\frac{1}{7} *7+b

    21=-1+b

    22=b

    Thus, the slope of the line is: y=-\frac{1}{7} x+22.

    Hope it helps 😀

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