Respuesta :
The adjacent sides of rectangle form 90° to each other or are
perpendicular, while the opposite sides are parallel.
The error, is that the coefficient of x, in the four equations can only take on two values, such that if one of the values is m, the other will be [tex]-\dfrac{1}{m}[/tex]
Reasons:
In a rectangle, the adjacent sides are perpendicular to each other, while
the opposite sides are parallel.
The slope of parallel lines are equal, and the slope, of a line perpendicular to another line with slope, m, is [tex]-\dfrac{1}{m}[/tex], therefore the slopes of the parallel sides should be equal, which gives;
- The equations should consist of two pairs of equations of lines with equal slopes, such as the pair, y = -x + 6, and y = -x - 5
- The slope of the other two lines should therefore be [tex]-\dfrac{1}{-1} = 1[/tex], which gives the equations of the other two lines as y = x - 4, and y = x - 5, respectively.
Therefore;
- The error, is that the coefficient of x, in the four equations can only take on two values, such that if one of the values is m, the other will be [tex]-\dfrac{1}{m}[/tex]
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