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What is the slope and y-Intercept of the equation 3(y – 2) + 6(x + 1) - 2 = 0?
A. Slope = -2, y-intercept = 2/3
B Slope = 2, y-intercept =2/3
C Slope = -2, y intercept = -2/3
D Slope = 2, y intercept= -2/3
E Slope = -2, y intercept = 3/2


Sagot :

Answer:

  • A. Slope = -2, y-intercept = 2/3

Step-by-step explanation:

Convert the given equation into slope-intercept form:

  • 3(y - 2) + 6(x + 1) - 2 = 0
  • 3y - 6 + 6x + 6 - 2 = 0
  • 3y + 6x - 2 = 0
  • 3y = - 6x + 2
  • y = - 2x + 2/3

The slope is -2, the y-intercept is 2/3

Correct choice is A

⇒ 3(y - 2) + 6(x + 1) - 2 = 0

⇒ 3y - 6 + 6x + 6 - 2 = 0

⇒ 3y = -6x + 2

⇒ y = (-6x + 2)/3

y = -2x +

FINAL ANSWER :

Slope = -2

Y - intercept = +

Answer :

Option (a) is the correct answer .