Answer:
Option B (second graph)
Step-by-step explanation:
Given the linear equation in standard form, 2x - 3y = 6:
It's easier to figure out the corresponding graph by transforming the equation into its slope-intercept form, y = mx + b:
2x - 3y = 6
2x - 2x - 3y = 6 - 2x
-3y = -2x + 6
Divide both sides by -3:
[tex]\frac{-3y}{-3} = \frac{-2x+6}{-3}[/tex]
y = 2/3x - 2
Now that we have the slope-intercept form, it's easier to tell that Graph B represents the given equation because:
- The graph's y-intercept occurs at (0, -2).
- The slope, m = 2/3, is positive. If you use the "Rise over run" technique, you'll see that Graph B rises by 2 units, and runs by 3 units.
Therefore, the correct answer is Graph B.
