What is an equation of the line that passes through the point (−1,−3) and is parallel to the line 4x−y=2?

Question

What is an equation of the line that passes through the point (−1,−3) and is parallel to the line 4x−y=2?

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Ngọc Hoa 1 year 2021-09-05T02:31:47+00:00 1 Answers 5 views 0

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    2021-09-05T02:33:16+00:00

    Answer: y = 4x + 1

    Step-by-step explanation:

    1. Make the equation its parallel to in slope intercept form by subtacting 4x to get -y = -4x+ 2 then dividing both sides by -1 to get y = 4x -2

    When dealing with parallel lines thier slopes are ALWAYS the same, so the equation we are making should have the slope of 4.

    2. Plug in the corrordinates x and y values and the slope into the point-slope form equation to find the y intercept

    (y – (-3)) = 4(x – (-1))

    3. Solve for y in slope intercept form:

    y + 3 = 4x + 4 —-> y = 4x + 1

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