Which graph shows a proportional relationship?

The first picture, second picture,fourth picture represents proportional relationship.

Further explanation:

Explanation:

The points in the first picture are and

The slopes between the points can be obtained as follows,

The slopes between the points are equal. Therefore, in the first picture x and y are in a proportional relationship.

The points in the second picture are and

The slopes between the points can be obtained as follows,

The slopes between the points are equal. Therefore, in the second picture x and y are in a proportional relationship.

The points in the third picture are and

The slopes between the points can be obtained as follows,

The slope is negative. Therefore, in the third picture x and y are not in a proportional relationship.

The points in the fourth picture are and

The slopes between the points can be obtained as follows,

The slopes between the points are equal. Therefore, in the fourth picture x and y are in a proportional relationship.

The first picture, second picture,fourth picture represents proportional relationship.

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Answer details:

Grade: High School

Subject: Mathematics

Chapter: Ratio and proportion

Keywords: function, First picture, second picture, proportional relationship, ratio, slope, set, set of values, set of numbers, coordinates, x-coordinate, y-coordinate.

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step-by-step explanation: