What is the slope and y-Intercept of the equation 3(y – 2) + 6(x + 1) - 2 = 0?
2 answers:
⇒ 3(y - 2) + 6(x + 1) - 2 = 0
⇒ 3y - 6 + 6x + 6 - 2 = 0
⇒ 3y = -6x + 2
⇒ y = (-6x + 2)/3
⇒ y = -2x + ⅔
<h3><u>FINAL </u><u>ANSWER</u><u> </u><u>:</u></h3>
Slope = -2
Y - intercept = +⅔
<h3>
<u>A</u><u>n</u><u>s</u><u>w</u><u>e</u><u>r</u><u> </u><u>:</u></h3>
Option (a) is the correct answer .
Answer:
- A. Slope = -2, y-intercept = 2/3
Step-by-step explanation:
<u>Convert the given equation into slope-intercept form:</u>
- 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
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