haleighfreeman haleighfreeman
  • 21-10-2016
  • Mathematics
contestada

What is the equation of the line that is parallel to the given line and passes through the point (2, 3)?

x + 2y = 4

x + 2y = 8
2x + y = 4
2x + y = 8

What is the equation of the line that is parallel to the given line and passes through the point 2 3 x 2y 4 x 2y 8 2x y 4 2x y 8 class=

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texaschic101
texaschic101 texaschic101
  • 21-10-2016
(-4,0)(4,-4)
slope(m) = (-4 - 0) / (4 - (-4) = -4/(4 + 4) = -4/8 = -1/2. A parallel line will have the same slope.

y = mx + b
slope(m) = -1/2
(2,3)...x = 2 and y = 3
now we sub and find b, the y int
3 = -1/2(2) + b
3 = -1 + b
3 + 1 = b
4 = b

y = -1/2x + 4
1/2x + y = 4....multiply by 2
x + 2y = 8 <== ur parallel line
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regmere10
regmere10 regmere10
  • 15-06-2020

Answer:

B.) x + 2y = 8

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