Question
The proportional relationship between inches and feet is displayed on the graph Derive the equation of the line through the origin point) y = 2x; y= 1 n x; y = 36x; y = 12x
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GPT 3.5
To determine the equation of the line through the origin that represents the relationship between inches and feet, we need to look for the equation that represents a constant ratio between the two variables.
1. y = 2x: This equation represents a relationship where every foot is equivalent to 2 inches. The graph of this equation would be a straight line passing through the origin with a slope of 2.
2. y = 1x: This equation represents a relationship where every foot is equivalent to 1 inch. The graph of this equation would be a straight line passing through the origin with a slope of 1.
3. y = 36x: This equation represents a relationship where every foot is equivalent to 36 inches. The graph of this equation would be a straight line passing through the origin with a slope of 36.
4. y = 12x: This equation represents a relationship where every foot is equivalent to 12 inches. The graph of this equation would be a straight line passing through the origin with a slope of 12.
In conclusion, the equation of the line through the origin that represents the relationship between inches and feet is y = 2x for a ratio of 2 inches to 1 foot.
1. y = 2x: This equation represents a relationship where every foot is equivalent to 2 inches. The graph of this equation would be a straight line passing through the origin with a slope of 2.
2. y = 1x: This equation represents a relationship where every foot is equivalent to 1 inch. The graph of this equation would be a straight line passing through the origin with a slope of 1.
3. y = 36x: This equation represents a relationship where every foot is equivalent to 36 inches. The graph of this equation would be a straight line passing through the origin with a slope of 36.
4. y = 12x: This equation represents a relationship where every foot is equivalent to 12 inches. The graph of this equation would be a straight line passing through the origin with a slope of 12.
In conclusion, the equation of the line through the origin that represents the relationship between inches and feet is y = 2x for a ratio of 2 inches to 1 foot.