Graph the linear inequality below. −6x − 3y ≥ −3 Show your work here Identify the correct equation of the inequality shown in the graph, with the words.

To graph the linear inequality (-6x – 3y ≥ -3), follow these steps:

1. Rewrite the inequality: First, we can rearrange it into slope-intercept form (y = mx + b).

Start by isolating y:

[

-3y ≥ 6x – 3

]

Divide each term by -3 (remember to flip the inequality sign):

[

y ≤ -2x + 1

]

2. Graph the related equation: The boundary line is (y = -2x + 1).

– The y-intercept is (0, 1).

– The slope is -2, meaning for every 1 unit you move to the right, you move down 2 units.

Plot the points (0, 1) and (1, -1) and draw a dashed line (because it’s a “greater than or equal to” inequality).

3. Shade the appropriate area: Since the inequality is (y ≤ -2x + 1), you shade below the line, indicating all the points that satisfy the inequality.

4. Identify the equation from the graph: The correct inequality represented by the graph is (y ≤ -2x + 1).

This indicates all the points where y values are less than or equal to the line defined by (-2x