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zamirareece17
27.06.2020 •
Mathematics
Identify an equation in point-slope form for the perpendicular to y= -1/2x+11 that passes through (4, -8). A. y - 4 = 2(x + 8) B. y - 8 = 1/2(x+4 C. y + 8 = 2(x - 4) D. y + 8 = 1/2(x - 4)
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Ответ:
C.
Step-by-step explanation:
Perpendicular ⇒ So the slope will be the negative reciprocal to this slope
Slope = m = 2
Point = (x,y) = (4,-8)
So, x = 4, y = -8
Putting in the slope-intercept form
-8 = (2)(4) + b
b = -8-8
b = -16
Now we'll put it in the slope-intercept form
y = 2x-16
=> y = 2x-8-8
=> y+8 = 2(x-4)
Ответ: