Question

Solve the inequality y≤−23x+1 by graphing.(1 point)

Responses

1. A coordinate plane with 4 quadrants shows a graphed line sloping gradually downward from left to right. The line crosses the x-axis at negative 1.5 and the y-axis at 1. The area below and to the right of the line is shaded. The line intersects the x-axis at coordinates left parenthesis 0 comma 1 right parenthesis and left parenthesis negative 1.5 comma 0 right parenthesis.
Image with alt text: A coordinate plane with 4 quadrants shows a graphed line sloping gradually downward from left to right. The line crosses the x-axis at negative 1.5 and the y-axis at 1. The area below and to the right of the line is shaded. The line intersects the x-axis at coordinates left parenthesis 0 comma 1 right parenthesis and left parenthesis negative 1.5 comma 0 right parenthesis.

2. A coordinate plane with 4 quadrants shows a graphed dashed line slanting upward from left to right. The line intersects the x-axis at negative 1.5, and it intersects the y-axis at 1. The area below and to the right of the line is shaded. The coordinates where the line intersects the axes are as follows: left parenthesis 0 comma 1 right parenthesis and left parenthesis negative 1.5 comma 0 right parenthesis.
Image with alt text: A coordinate plane with 4 quadrants shows a graphed dashed line slanting upward from left to right. The line intersects the x-axis at negative 1.5, and it intersects the y-axis at 1. The area below and to the right of the line is shaded. The coordinates where the line intersects the axes are as follows: left parenthesis 0 comma 1 right parenthesis and left parenthesis negative 1.5 comma 0 right parenthesis.

3. A coordinate plane with 4 quadrants shows a graphed dashed line gradually slanting downward from left to right. The line intersects the x-axis at 1.5, and it intersects the y-axis at 1. The area below and to the left of the line is shaded. The coordinates where the line intersects the axes are as follows: left parenthesis 0 comma 1 right parenthesis and left parenthesis 1.5 comma 0 right parenthesis.
Image with alt text: A coordinate plane with 4 quadrants shows a graphed dashed line gradually slanting downward from left to right. The line intersects the x-axis at 1.5, and it intersects the y-axis at 1. The area below and to the left of the line is shaded. The coordinates where the line intersects the axes are as follows: left parenthesis 0 comma 1 right parenthesis and left parenthesis 1.5 comma 0 right parenthesis.

4. A coordinate plane with 4 quadrants shows a graphed line sloping gradually downward from left to right. The line crosses the x-axis at 1.5 and the y-axis at 1. The area below and to the left of the line is shaded. The line intersects the x-axis at coordinates left parenthesis 0 comma 1 right parenthesis and the y-axis at left parenthesis 1.5 comma 0 right parenthesis.
Image with alt text: A coordinate plane with 4 quadrants shows a graphed line sloping gradually downward from left to right. The line crosses the x-axis at 1.5 and the y-axis at 1. The area below and to the left of the line is shaded. The line intersects the x-axis at coordinates left parenthesis 0 comma 1 right parenthesis and the y-axis at left parenthesis 1.5 comma 0 right parenthesis.
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Answer 1

[AI-generated answer — Bot GPT 3.5]

1. A coordinate plane with 4 quadrants shows a graphed line sloping gradually downward from left to right. The line crosses the x-axis at negative 1.5 and the y-axis at 1. The area below and to the right of the line is shaded. The line intersects the x-axis at coordinates (0, 1) and (-1.5, 0).

This response correctly describes the graph of the inequality y ≤ -23x + 1.