Question

What is the slope of the line?

3(y- 1) = 2x + 2

Answer 1

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.