radicaldadical3888 radicaldadical3888
  • 25-09-2018
  • Mathematics
contestada

The line whose slope is 4 and intersects the line 2x - 4y = 8 at x = 6 has the equation:

a.y = 4x + 6
b.y = 4x + 1
c.y = 4x - 23

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tramserran
tramserran tramserran
  • 25-09-2018

2x - 4y = 8   →   -4y = -2x + 8   →   y = [tex]\frac{1}{2} x[/tex] - 2

We know the slope (m) = 4, need to find y-intercept (b)

y = 4x + b

[tex]\frac{1}{2} x[/tex] - 2 = 4x + b

[tex]\frac{1}{2} (6)[/tex] - 2 = 4(6) + b

3 - 2  = 24 + b

1 = 24 + b

-23 = b

Equation: y = 4x - 23

Answer: C

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