One Solution, No Solution, or Many Solutions Quick Check%0D%0A4 of 54 of 5 Items%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0AQuestion%0D%0AWhich of these graphs shows that the linear system y=−x+6 and 3x+3y=18 has an infinite number of solutions?(1 point)%0D%0AResponses%0D%0A%0D%0A%0D%0AImage with alt text: A coordinate plane with 4 quadrants shows x and y axes ranging from negative 10 to 10 in unit increments. Two intersecting lines are plotted on the plane. A solid downward slanting line with arrows at both ends passes through the points left parenthesis 0 comma 6 right parenthesis and left parenthesis 6 comma 0 right parenthesis. A dotted downward slanting line with arrows at both ends passes through the points left parenthesis negative 6 comma 4 right parenthesis and left parenthesis 3 comma 3 right parenthesis.%0D%0A%0D%0A%0D%0AImage with alt text: A coordinate plane with 4 quadrants shows x and y axes ranging from negative 10 to 10 in unit increments. Two parallel lines are plotted on the plane. A solid downward slanting line with arrows at both ends passes through the points left parenthesis 0 comma 6 right parenthesis and left parenthesis 6 comma 0 right parenthesis. A dotted downward slanting line with arrows at both ends passes through the points left parenthesis 0 comma 4 right parenthesis and left parenthesis 4 comma 0 right parenthesis.%0D%0A%0D%0A%0D%0AImage with alt text: A coordinate plane with 4 quadrants shows x and y axes ranging from negative 10 to 10 in unit increments. A line is plotted on the plane. A downward slanting line with arrows at both ends passes through the points left parenthesis negative 6 comma 0 right parenthesis and left parenthesis 0 comma negative 6 right parenthesis.%0D%0A%0D%0A%0D%0AImage with alt text: A coordinate plane with 4 quadrants shows x and y axes ranging from negative 10 to 10 in unit increments. A line is plotted on the plane. A downward slanting line with arrows at both ends passes through the points left parenthesis 0 comma 6 right parenthesis and left parenthesis 6 comma 0 right parenthesis.%0D%0ASkip to navigation%0D%0A%0D%0A%0D%0A%0D%0AHighlight%0D%0AItem%0D%0A1%0D%0A, Fully Attempted.%0D%0AItem%0D%0A2%0D%0A, Fully Attempted.%0D%0AItem%0D%0A3%0D%0A, Fully Attempted.%0D%0AItem%0D%0A4%0D%0A, Unattempted.%0D%0AItem%0D%0A5%0D%0A, Unattempted.%0D%0APreviousNext
1 answer
The graph that shows the linear system y=−x+6 and 3x+3y=18 has an infinite number of solutions is the first one described in the prompt. It is the image of a solid downward slanting line with arrows at both ends passing through the points (0, 6) and (6, 0), and a dotted downward slanting line with arrows at both ends passing through the points (-6, 4) and (3, 3).