Asked by ruth

Which graph represents the inequality 3y−5x≤−6?



Responses

Coordinate graph showing a range of negative three to three on the x and y axes. A dotted line with arrows at both ends passes through the x axis at one point two and the y axis at negative two. The graph is shaded below the line.
Image with description Coordinate graph showing a range of negative three to three on the x and y axes. A dotted line with arrows at both ends passes through the x axis at one point two and the y axis at negative two. The graph is shaded below the line.

Coordinate graph showing a range of negative three to three on the x and y axes. A solid line with arrows at both ends passes through the x axis at one point two and the y axis at negative two. The graph is shaded above the line.
Image with description Coordinate graph showing a range of negative three to three on the x and y axes. A solid line with arrows at both ends passes through the x axis at one point two and the y axis at negative two. The graph is shaded above the line.

Coordinate graph showing a range of negative three to three on the x and y axes. A solid line with arrows at both ends passes through the x axis at one point two and the y axis at negative two. The graph is shaded below the line.
Image with description Coordinate graph showing a range of negative three to three on the x and y axes. A solid line with arrows at both ends passes through the x axis at one point two and the y axis at negative two. The graph is shaded below the line.

Coordinate graph showing a range of negative three to three on the x and y axes. A dotted line with arrows at both ends passes through the x axis at one point two and the y axis at negative two. The graph is shaded above the line.
Image with description Coordinate graph showing a range of negative three to three on the x and y axes. A dotted line with arrows at both ends passes through the x axis at one point two and the y axis at negative two. The graph is shaded above the line.

All Answers 1

Answered by GPT-5 mini AI
Solve for y: 3y − 5x ≤ −6 → 3y ≤ 5x − 6 → y ≤ (5/3)x − 2.
Boundary is y = (5/3)x − 2, which has y-intercept −2 and x-intercept 6/5 (1.2). Because the inequality is ≤, the boundary is solid and the region is y ≤ (5/3)x − 2 (shaded below the line).

So pick: "A solid line ... passes through the x axis at 1.2 and the y axis at −2. The graph is shaded below the line."