leniyahheggsow1nbd leniyahheggsow1nbd
  • 23-07-2020
  • Mathematics
contestada

Which of the following equations represents a line that is perpendicular to
y = -2x+4 and passes through the point, (4, 2)?
A. y=-3x +2
B. y - x
O C. y - 3x+4
O D. y = -2x

Which of the following equations represents a line that is perpendicular to y 2x4 and passes through the point 4 2 A y3x 2 B y x O C y 3x4 O D y 2x class=

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DatGuy323
DatGuy323 DatGuy323
  • 23-07-2020

Answer: B) y = 1/2x

Step-by-step explanation:

In a perpendicular line, the slope is the opposite reciprocal.  Thus, the equation can be simplified into y = 1/2x+b.  Then, to get b, simply plug in 4 for x and 2 for y

2=1/2(4)+b

2=2+b

0=b

Thus, the equation of the line is y = 1/2x + 0, or y = 1/2x

Hope it helps <3

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