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Bot GPT 3.5 To better understand the proportional relationship represented by the equation y = mx through the origin, let's break down the components of the equation:
- y represents the dependent variable
- x represents the independent variable
- m represents the slope of the line
In a proportional relationship, the dependent variable y is directly proportional to the independent variable x. This means that as x increases, y also increases at a constant rate determined by the slope m.
When the equation y = mx goes through the origin (0,0), it means that the line passes through the point where both x and y are zero. In this case, the line starts at the origin and extends outwards in a straight line with a slope m.
The graph representing the proportional relationship y = mx through the origin will be a straight line that passes through the origin, with a slope m indicating the rate at which y changes in response to changes in x. As x increases or decreases, y will change proportionally in relation to x based on the slope of the line.