Question
Multiple Choice
What is the graph of the system?
y ≤ x + 4
2x + y ≤ –4
(1 point)
Responses
aThe lines intersect at just above left-parenthesis negative 2.5 comma 1 right-parenthesis. The first line goes through the points left-parenthesis negative 4 comma 0 right-parenthesis and left-parenthesis 0 comma 4 right-parenthesis. The second line goes through the points left-parenthesis negative 4 comma 4 right-parenthesis and left-parenthesis 0 comma negative 4 right-parenthesis. The graph is shaded below the first line and to the left of the second line.
Image with alt text: a The lines intersect at just above left-parenthesis negative 2.5 comma 1 right-parenthesis. The first line goes through the points left-parenthesis negative 4 comma 0 right-parenthesis and left-parenthesis 0 comma 4 right-parenthesis. The second line goes through the points left-parenthesis negative 4 comma 4 right-parenthesis and left-parenthesis 0 comma negative 4 right-parenthesis. The graph is shaded below the first line and to the left of the second line.
bThe lines intersect at just above left-parenthesis negative 2.5 comma 1 right-parenthesis. The first line goes through the points left-parenthesis negative 4 comma 0 right-parenthesis and left-parenthesis 0 comma 4 right-parenthesis. The second line goes through the points left-parenthesis negative 4 comma 4 right-parenthesis and left-parenthesis 0 comma negative 4 right-parenthesis. The graph is shaded below the first line and to the right of the second line.
Image with alt text: b The lines intersect at just above left-parenthesis negative 2.5 comma 1 right-parenthesis. The first line goes through the points left-parenthesis negative 4 comma 0 right-parenthesis and left-parenthesis 0 comma 4 right-parenthesis. The second line goes through the points left-parenthesis negative 4 comma 4 right-parenthesis and left-parenthesis 0 comma negative 4 right-parenthesis. The graph is shaded below the first line and to the right of the second line.
cThe lines intersect at just above left-parenthesis negative 2.5 comma 1 right-parenthesis. The first line goes through the points left-parenthesis negative 4 comma 0 right-parenthesis and left-parenthesis 0 comma 4 right-parenthesis. The second line goes through the points left-parenthesis negative 4 comma 4 right-parenthesis and left-parenthesis 0 comma negative 4 right-parenthesis. The graph is shaded above the first line and to the left of the second line.
Image with alt text: c The lines intersect at just above left-parenthesis negative 2.5 comma 1 right-parenthesis. The first line goes through the points left-parenthesis negative 4 comma 0 right-parenthesis and left-parenthesis 0 comma 4 right-parenthesis. The second line goes through the points left-parenthesis negative 4 comma 4 right-parenthesis and left-parenthesis 0 comma negative 4 right-parenthesis. The graph is shaded above the first line and to the left of the second line.
dThe lines intersect at just above left-parenthesis negative 2.5 comma 1 right-parenthesis. The first line goes through the points left-parenthesis negative 4 comma 0 right-parenthesis and left-parenthesis 0 comma 4 right-parenthesis. The second line goes through the points left-parenthesis negative 4 comma 4 right-parenthesis and left-parenthesis 0 comma negative 4 right-parenthesis. The graph is shaded above the first line and to the right of the second line.
Image with alt text: d The lines intersect at just above left-parenthesis negative 2.5 comma 1 right-parenthesis. The first line goes through the points left-parenthesis negative 4 comma 0 right-parenthesis and left-parenthesis 0 comma 4 right-parenthesis. The second line goes through the points left-parenthesis negative 4 comma 4 right-parenthesis and left-parenthesis 0 comma negative 4 right-parenthesis. The graph is shaded above the first line and to the right of the second line.
Skip to navigation
What is the graph of the system?
y ≤ x + 4
2x + y ≤ –4
(1 point)
Responses
aThe lines intersect at just above left-parenthesis negative 2.5 comma 1 right-parenthesis. The first line goes through the points left-parenthesis negative 4 comma 0 right-parenthesis and left-parenthesis 0 comma 4 right-parenthesis. The second line goes through the points left-parenthesis negative 4 comma 4 right-parenthesis and left-parenthesis 0 comma negative 4 right-parenthesis. The graph is shaded below the first line and to the left of the second line.
Image with alt text: a The lines intersect at just above left-parenthesis negative 2.5 comma 1 right-parenthesis. The first line goes through the points left-parenthesis negative 4 comma 0 right-parenthesis and left-parenthesis 0 comma 4 right-parenthesis. The second line goes through the points left-parenthesis negative 4 comma 4 right-parenthesis and left-parenthesis 0 comma negative 4 right-parenthesis. The graph is shaded below the first line and to the left of the second line.
bThe lines intersect at just above left-parenthesis negative 2.5 comma 1 right-parenthesis. The first line goes through the points left-parenthesis negative 4 comma 0 right-parenthesis and left-parenthesis 0 comma 4 right-parenthesis. The second line goes through the points left-parenthesis negative 4 comma 4 right-parenthesis and left-parenthesis 0 comma negative 4 right-parenthesis. The graph is shaded below the first line and to the right of the second line.
Image with alt text: b The lines intersect at just above left-parenthesis negative 2.5 comma 1 right-parenthesis. The first line goes through the points left-parenthesis negative 4 comma 0 right-parenthesis and left-parenthesis 0 comma 4 right-parenthesis. The second line goes through the points left-parenthesis negative 4 comma 4 right-parenthesis and left-parenthesis 0 comma negative 4 right-parenthesis. The graph is shaded below the first line and to the right of the second line.
cThe lines intersect at just above left-parenthesis negative 2.5 comma 1 right-parenthesis. The first line goes through the points left-parenthesis negative 4 comma 0 right-parenthesis and left-parenthesis 0 comma 4 right-parenthesis. The second line goes through the points left-parenthesis negative 4 comma 4 right-parenthesis and left-parenthesis 0 comma negative 4 right-parenthesis. The graph is shaded above the first line and to the left of the second line.
Image with alt text: c The lines intersect at just above left-parenthesis negative 2.5 comma 1 right-parenthesis. The first line goes through the points left-parenthesis negative 4 comma 0 right-parenthesis and left-parenthesis 0 comma 4 right-parenthesis. The second line goes through the points left-parenthesis negative 4 comma 4 right-parenthesis and left-parenthesis 0 comma negative 4 right-parenthesis. The graph is shaded above the first line and to the left of the second line.
dThe lines intersect at just above left-parenthesis negative 2.5 comma 1 right-parenthesis. The first line goes through the points left-parenthesis negative 4 comma 0 right-parenthesis and left-parenthesis 0 comma 4 right-parenthesis. The second line goes through the points left-parenthesis negative 4 comma 4 right-parenthesis and left-parenthesis 0 comma negative 4 right-parenthesis. The graph is shaded above the first line and to the right of the second line.
Image with alt text: d The lines intersect at just above left-parenthesis negative 2.5 comma 1 right-parenthesis. The first line goes through the points left-parenthesis negative 4 comma 0 right-parenthesis and left-parenthesis 0 comma 4 right-parenthesis. The second line goes through the points left-parenthesis negative 4 comma 4 right-parenthesis and left-parenthesis 0 comma negative 4 right-parenthesis. The graph is shaded above the first line and to the right of the second line.
Skip to navigation
Answers
GPT 3.5
The correct answer is a) The lines intersect at just above (-2.5, 1). The first line goes through the points (-4, 0) and (0, 4). The second line goes through the points (-4, 4) and (0, -4). The graph is shaded below the first line and to the left of the second line.