Find the slope and the equation for this graph of a proportional relationship.

image.png The slope of the line in the graph is
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.

The equation of the line is
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1 answer

To find the slope and the equation of a proportional relationship from a graph, we typically follow these steps:

  1. Finding the Slope: The slope (m) can be computed as the change in the y-values divided by the change in the x-values between two points on the line. If you have coordinates of two distinct points from the graph, use the formula:

    \[ m = \frac{\Delta y}{\Delta x} = \frac{y_2 - y_1}{x_2 - x_1} \]

  2. Writing the Equation of the Line: In a proportional relationship, the equation of the line can be expressed in the form:

    \[ y = mx \]

    where m is the slope you found previously.

If you can provide the specific graph details or the coordinates of points from the graph, I could help you calculate the exact slope and write the equation for that line.

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