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Answer:
y = 2/3x -20/3
Step-by-step explanation:
The perpendicular line will have a slope that is the opposite of the reciprocal of the slope of the given line:
-1/(-3/2) = 2/3
You can use the point-slope form to write the equation of that perpendicular line.
y -k = m(x -h) . . . . . line with slope m through point (h, k)
y +2 = 2/3(x -7) . . . . . the equation of the perpendicular line
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This can be put into slope-intercept form by solving for y and simplifying.
y +2 = 2/3x -14/3
y = 2/3x -20/3
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