Find the equation of the line that has a y-intercept of 1 and is perpendicular to the graph of the line 2x + y = 4.

Question

Find the equation of the line that has a y-intercept of 1 and is perpendicular to the graph of the line 2x + y = 4.

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Thành Đạt 5 years 2021-08-27T04:20:40+00:00 1 Answers 21 views 0

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  1. Euphemia
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    2021-08-27T04:21:50+00:00
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    Answer:

    y = 1/2x + 1

    Step-by-step explanation:

    To be perpendicular to a line is to have the product of the slopes be -1. First, we have to put 2x + y = 4 into slope-intercept form to find the slope of the line. We do this by subtracting 2x on both sides to get that y = -2x + 4. Now, the number that multiplied by -2 is equal to -1 is 1/2, so that is the slope of our line. We can substitute these values into the slope-point equation to find the equation. We would get that y – 1 = 1/2 * (x – 0). This simplifies to y = 1/2x + 1.

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