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The coordinates of the 2 given points are W(-5, 2), and X(5, -4).
First, we find the midpoint M using the midpoint formula:
Nex, we find the slope of the line containing M, perpendicular to WX. We know that if m and n are the slopes of 2 parallel lines, then mn=-1.
The slope of WX is
.
Thus, the slope n of the perpendicular line is
.
The equation of the line with slope
containing the point M(0, -1) is given by:
Answer: 5x-3y-3=0
First, we find the midpoint M using the midpoint formula:
Nex, we find the slope of the line containing M, perpendicular to WX. We know that if m and n are the slopes of 2 parallel lines, then mn=-1.
The slope of WX is
Thus, the slope n of the perpendicular line is
The equation of the line with slope
Answer: 5x-3y-3=0