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Answer:
y +2 = -1/2(x -7)
Explanation:
The line PQ has a rise of 6 units for a run of 3 units, so its slope is ...
m = rise/run = 6/3 = 2
A line perpendicular to PQ will have a slope that is the opposite reciprocal of that, so ...
-1/m = -1/2
We have the slope of the desired line, and a point it needs to pass through, so we can use the point-slope form of the equation of a line.
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
An equation for the desired line is ...
y +2 = -1/2(x -7)
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This can be rearranged to other forms.
y = -1/2x +3/2 . . . . . slope-intercept form
x +2y = 3 . . . . . . . . . standard form