Answer:
2/3
Step-by-step 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.
- [tex](3)(y) + (3)(-1) = 2x + 2[/tex]
- [tex]3y - 3 = 2x + 2[/tex]
Step 2: Add 3 to both sides.
- [tex]3y - 3 + 3 = 2x + 2 + 3[/tex]
- [tex]3y = 2x + 5[/tex]
Step 3: Divide both sides by 3.
- [tex]\frac{3y}{3} = \frac{2x+5}{3}[/tex]
- [tex]y = \frac{2}{3}x + \frac{5}{3}[/tex]
3. Since 2/3 is in place of m, the slope, the slope of the line is 2/3.
