An illustration of a coordinate plane shows a line on the first, second, and third quadrants. Both the x- and the y-axes range from negative 8 to 8 in increments of 1. A line passes through the following points: left parenthesis negative 7 comma negative 4 right parenthesis, left parenthesis negative 2 comma negative 5 right parenthesis, left parenthesis negative 2 comma 1 right parenthesis, left parenthesis 0 comma 3 right parenthesis, left parenthesis 1 comma 4 right parenthesis, and left parenthesis 3 comma 6 right parenthesis.
Determine whether this linear relationship is proportional or nonproportional and give the reason.
(1 point)
Responses
The relationship is nonproportional, because the line doesn’t pass through the origin.
The relationship is nonproportional, because the line doesn’t pass through the origin.
The relationship is proportional, because the line passes through the origin.
The relationship is proportional, because the line passes through the origin.
The relationship is proportional because the line doesn’t pass through the origin.
The relationship is proportional because the line doesn’t pass through the origin.
The relationship is nonproportional, because the slope is positive.
1 answer
The correct response is:
The relationship is nonproportional, because the line doesn’t pass through the origin.
In a proportional relationship, the line must pass through the origin (0, 0). Since the line in this illustration does not pass through the origin, it is classified as nonproportional.
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1 answer
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