Answer:
B
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept
Rearrange 3x + 2y = - 6 into this form
Subtract 3x from both sides
2y = - 3x - 6 ( divide all terms by 2 )
y = - [tex]\frac{3}{2}[/tex] x - 3 → (1) ← in slope- intercept form
The second equation is already in slope- intercept form
y = - [tex]\frac{3}{2}[/tex] x + 2 → (2)
Both lines have slope m = - [tex]\frac{3}{2}[/tex]
Lines with equal slopes are Parallel lines.
The slopes are negative indicating lines slope down from left to right.
Thus we are considering graphs B or C
Equation (1) has y- intercept c = - 3
Equation (2) has y- intercept c = + 2
The required graph representing the system is B
