What is the equation in slope-intercept form of the line that passes through the point (2,-2) and is perpendicular to the line represe

Question

What is the equation in slope-intercept form of the line that passes through the
point (2,-2) and is perpendicular to the line represented by y = x +2?

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Orla Orla 4 years 2021-09-01T14:09:01+00:00 1 Answers 11 views 0

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  1. trungdung22
    0
    2021-09-01T14:10:57+00:00
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    Answer:

    y=-x

    Step-by-step explanation:

    The slope-intercept form of a line can be written as y=mx+b, where m is the slope, b is the y-intercept, and (x,y) are the coordinates of any point that this line passes through.

    Perpendicular lines have negative-reciprocal slopes. Therefore a line perpendicular to y=x+2 will have a slope of -\frac{1}{1}=-1.

    Now that we have a slope and coordinates of a point that the line passes through, we can solve for the y-intercept and the equation of the line:

    -2=-1(2)+b, \\b=0

    Thus, the equation of this line is \fbox{$y=-x$}.

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