Graphing Linear Equations Unit Test

Question

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Question
Which of the following graphs represents a proportional relationship?(1 point)
Responses

An illustration shows two perpendicular intersecting lines representing an empty coordinate plane. A line with arrows on both ends passes from the first quadrant to the second quadrant. The line intersects the y-axis and is parallel to the x-axis.
Image with alt text: An illustration shows two perpendicular intersecting lines representing an empty coordinate plane. A line with arrows on both ends passes from the first quadrant to the second quadrant. The line intersects the y-axis and is parallel to the x-axis.

An illustration shows two perpendicular intersecting lines representing an empty coordinate plane. A line with arrows on both ends passes from the first quadrant to the fourth quadrant. The line intersects the x-axis and is parallel to the y-axis.
Image with alt text: An illustration shows two perpendicular intersecting lines representing an empty coordinate plane. A line with arrows on both ends passes from the first quadrant to the fourth quadrant. The line intersects the x-axis and is parallel to the y-axis.

An illustration shows two perpendicular intersecting lines representing an empty coordinate plane. A downward sloping line with arrows on both ends passes from the second quadrant through the origin and into the fourth quadrant.
Image with alt text: An illustration shows two perpendicular intersecting lines representing an empty coordinate plane. A downward sloping line with arrows on both ends passes from the second quadrant through the origin and into the fourth quadrant.

An illustration shows two perpendicular intersecting lines representing an empty coordinate plane. An upward sloping line with arrows on both ends passes from the third quadrant through the second quadrant and into the first quadrant.
Image with alt text: An illustration shows two perpendicular intersecting lines representing an empty coordinate plane. An upward sloping line with arrows on both ends passes from the third quadrant through the second quadrant and into the first quadrant.
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Answer 1

A proportional relationship is represented by a line that passes through the origin (0,0) and has a constant ratio between the x and y values. In a graph, this means that the line must go through the origin and have a consistent upward or downward slope, without any vertical or horizontal lines.

From the descriptions provided in the response options, the graph that represents a proportional relationship is:

• An illustration shows two perpendicular intersecting lines representing an empty coordinate plane. A downward sloping line with arrows on both ends passes from the second quadrant through the origin and into the fourth quadrant.

This graph passes through the origin, indicating a proportional relationship.