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Graph each direct variation equation. y=2x

User Chrisli
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The graph of the direct variation equation y = 2x is a straight line passing through the origin with a slope of 2. As x increases or decreases, y changes proportionally, showcasing a direct variation relationship.

A direct variation equation is of the form y = kx, where k is the constant of variation. In the given equation y = 2x, the constant of variation is k = 2.

To graph the equation y = 2x, you can use the following steps:

1. Plot Points:

- Choose values for x and find the corresponding y values using the equation.

- For example, if x = 1, then y = 2(1) = 2. If x = -1, then y = 2(-1) = -2.

- Choose a few more values to get a set of points.

2. Plot the Points on a Coordinate Plane:

- Place points (1, 2), (-1, -2), (2, 4), (-2, -4), etc., on the coordinate plane.

3. Draw a Line:

- Since it's a direct variation, the graph is a straight line passing through the origin (0, 0).

- Connect the plotted points with a straight line.

The resulting graph is a line with a slope of 2, passing through the origin, representing the direct variation y = 2x.

Graph each direct variation equation. y=2x-example-1
User Guido Neele
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