Find the equation of the line in slope intercept form parallel to 5x−5y=−2 and goes through the point (−10,4) y=?

Question

Find the equation of the line in slope intercept form parallel to 5x−5y=−2 and goes through the point (−10,4) y=?

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Latifah 3 years 2021-08-21T01:42:34+00:00 1 Answers 8 views 0

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  1. Doris
    0
    2021-08-21T01:44:10+00:00
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    Answer:

    y = x + 14

    Step-by-step explanation:

    given

    5x−5y=−2, we’ll rearrange this into slope – intercept form

    5x + 2 = 5y

    5y = 5x + 2    (divide both sides by 5)

    y = x + (2/5)

    recall that the general equation of the slope-intercept form of a linear equation:

    y = mx + b, the value of m represents the slope of the line

    in our case, comparing the above equations, it is clear that the slope m = 1.

    We are given that our line is parallel to the above line, hence it will also have  a slope of 1.

    if we substitute m = 1 into the general equation, we will get

    y = x + b

    in order to find the value of b, we will substitute the given point (-10,4) into the equation:

    4 = -10 + b   (add 10 to both sides)

    b = 4 + 10

    b = 14

    hence our equation is y = x + 14

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