What Is a Direct Variation Graph?


Quick Answer

A direct variation graph represents a situation in which two variables increase or decrease at the exact same rate. The line on the graph is a straight line that passes through the origin of the graph. The origin is the point on the graph where the horizontal and vertical axes intersect.

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Full Answer

A direct variation graph is the visual representation of the equation y=kx, in which two variables, x and y, are displayed. The variable k is the constant of proportionality, defined as the constant ratio between the two quantities. When the value of the x variable is increased a certain amount, the y variable increases the same amount.

When depicting direct variation, a graph is plotted onto a coordinate plane. The points that are plotted are found using an equation. The values of the x variable are plotted on the x axis, which is the horizontal axis running left to right in the graph. The values for the y variable are plotted on the y axis, which is the vertical axis running perpendicular to the x axis. Each point is called an ordered pair, depicted in the (x,y) format. The angle at which the line rises or falls is the slope. Slope is defined as the change in y over the change in the x variable, also called rise over run. The slope of a direct variation equation is a straight line because the difference between the two variables remains the same no matter the value of the variable.

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