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
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.
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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