A. y=1/2x+4

B. y=-1/2x+4

C. y=-1/2x+6

D. y=-1/2x+8

(I feel it's between A or B)

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Ron S. | Expert in Test Prep, Science, and MathExpert in Test Prep, Science, and Math

Actually the slope of the perpendicular would be -1/2, giving you

y = (-1/2)x + b through the point (4,6)

substituting, we get 6 = (-1/2)4 + b, which simplifies to 6 = -2 + b, or 8 = b

The final equation would be y = (-1/2)x + 8, which is answer D.

Another way to approach this is to plug the number 4 into each of the answer choices, and see which equation yields 6 for y:

A gives you 6

B gives you 2

C gives you 4

D gives you 6

So you can eliminate B&C, and since a perpendicular is the negative inverse of the original it has to be D

Hope this helps!

slope here is 2 but slope of perpendicular line is 1/2

s0 y=mx+b

y=6

x=4

m=1/2

y=mx+b so solve for b b=4

soy=1/2x+4 A

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