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CAN SOMEONE HELP FAST

Choose the graph that represents the system of linear inequalities below.
y≤ 1/3x -6
y≤ - 1/2x -1
First Graph
Second Graph
Third Graph
Fourth Graph

CAN SOMEONE HELP FAST Choose the graph that represents the system of linear inequalities-example-1
CAN SOMEONE HELP FAST Choose the graph that represents the system of linear inequalities-example-1
CAN SOMEONE HELP FAST Choose the graph that represents the system of linear inequalities-example-2
CAN SOMEONE HELP FAST Choose the graph that represents the system of linear inequalities-example-3
CAN SOMEONE HELP FAST Choose the graph that represents the system of linear inequalities-example-4
User Mamachanko
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1 Answer

5 votes

Answer:

To determine which graph represents the system of linear inequalities y ≤ 1/3x - 6 and y ≤ -1/2x - 1, we need to analyze the slopes and y-intercepts of the two inequalities.

The first inequality, y ≤ 1/3x - 6, has a slope of 1/3 and a y-intercept of -6. This means that the line will be relatively steep, and it will intersect the y-axis at -6.

The second inequality, y ≤ -1/2x - 1, has a slope of -1/2 and a y-intercept of -1. This line will have a negative slope and intersect the y-axis at -1.

Now, let's compare these characteristics with the graphs provided:

- The first graph has a steep line with a negative y-intercept. However, the slope does not match the first inequality.

- The second graph has a line with a negative slope, and its y-intercept matches the second inequality.

- The third graph has a line with a positive slope, which does not match either of the inequalities.

- The fourth graph has a line with a negative slope and a y-intercept that matches the second inequality.

Based on this analysis, the second graph represents the system of linear inequalities y ≤ 1/3x - 6 and y ≤ -1/2x - 1.

Explanation:

User Raven Dreamer
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7.3k points