Question

Which graph represents this system?
first on is the system is it A.B.C or D

Answer 1

`\Huge \boxed{Option ``B`

Explanation:

Refer to the attachment!

Answer 2

B

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 = -
`(3)/(2)` x - 3 → (1) ← in slope- intercept form

The second equation is already in slope- intercept form

y = -
`(3)/(2)` x + 2 → (2)

Both lines have slope m = -
`(3)/(2)`

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