Which equation represents a line through (-4, 3) that is perpendicular to y=x+7? A. y=x+1 B. y=-x-1 C. y=-x+ 1 D. y=

Question

Which equation represents a line through (-4, 3) that is perpendicular to y=x+7?
A. y=x+1
B. y=-x-1
C. y=-x+ 1
D. y=x-1

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Maris 5 years 2021-07-31T23:43:53+00:00 1 Answers 14 views 0

Answers ( )

  1. thienthanh
    0
    2021-07-31T23:45:40+00:00
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    Answer:

    B. y = -x – 1

    Step-by-step explanation:

    Perpendicular lines have opposite reciprocal slopes, so the slope of the new line will be -1.

    Plug the slope and the given point into y = mx + b to find b:

    y = mx + b

    3 = -1(-4) + b

    3 = 4 + b

    -1 = b

    Then, plug this and the slope into y = mx + b

    y = -x – 1

    So, the correct answer is B, y = -x – 1

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