need help ASAP Write an equation in whatever form you choose with the given characteristics Perpendicular to y= -1/2x – 8 and pa

Question

need help ASAP

Write an equation in whatever form you choose with the given characteristics Perpendicular to y= -1/2x – 8 and passes through: (7. -6)​

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Ngọc Khuê 3 months 2021-08-25T17:09:16+00:00 1 Answers 0 views 0

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    2021-08-25T17:10:46+00:00

    Answer:

    y+ 6 = 2 (x-7)

    Step-by-step explanation:

    1) Lines that are perpendicular have slopes that are opposite reciprocals of each other. y = -1/2x – 8 is in y = mx + b form, in which the number in place of m represents the slope. So, the slope of y = -1/2x – 8 is -1/2. The opposite reciprocal of it would be (remember to flip the fraction and reverse the sign) 2. So, 2 is the slope we need for the answer.

    2) When you know a point that the line must pass through and its slope, you can use point-slope form (y-y_1 = m (x - x_1)) to write an equation. x_1 and y_1 represents the x and y values of the point the line intersects, and m represents the slope. So, substitute 2 for m, 7 for x_1, and -6 for y_1.

    y-(-6) = 2 (x- 7)\\y + 6 = 2 (x-7)

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