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.
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