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What is the slope of the line?

3(y- 1) = 2x + 2

1 Answer

5 votes

Answer:

2/3

Explanation:

1. The easiest way to find the slope of the line is by converting this equation into slope-intercept form (y = mx + b).

  • y = y-coordinate
  • m = slope
  • x = x-coordinate
  • b = y-intercept

2. (Solving)

Step 1: Simplify both sides of the equation.


  • (3)(y) + (3)(-1) = 2x + 2

  • 3y - 3 = 2x + 2

Step 2: Add 3 to both sides.


  • 3y - 3 + 3 = 2x + 2 + 3

  • 3y = 2x + 5

Step 3: Divide both sides by 3.


  • (3y)/(3) = (2x+5)/(3)

  • y = (2)/(3)x + (5)/(3)

3. Since 2/3 is in place of m, the slope, the slope of the line is 2/3.

User Hayden Schiff
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