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# What Does the Slope of a Graph Represent?

**In the Cartesian Plane, the slope of a graph represents the rate of change of the graph.** The slope of graph at any given point is the point's "y" value (rise) divided by the "x" value (run).

The slope of a graph illustrates the rate of change from one point on the graph to another point. It may be either positively sloped, sloping upward from left to right, or negatively sloped, sloping downward from left to right. Steeper graphs have a greater rate of change than do shallower graphs. A perfectly vertical graph has an undefined slope, while a perfectly horizontal graph has a slope of zero.

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Q:
## How Do You Calculate a Horizontal Tangent Line?

A: A tangent is a line that intersects a curve at only one point and does not pass through it, such that its slope is equal to the curve's slope at that point... Full Answer >Filed Under: -
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## What Is the Slope of a Horizontal Line?

A: The slope of any horizontal line is always zero. The word "slope" is defined as the incline or the steepness of a straight line. If a line is horizontal, t... Full Answer >Filed Under: -
Q:
## How Do You Find the Slope When an Equation Is in Standard Form?

A: To find the slope of a line in standard form, convert the line to slope intercept form. In slope intercept form, y = mx+b, m is the slope. Full Answer >Filed Under: -
Q:
## How Do You Calculate Roof Pitch Angles?

A: Obtain the pitch, or slope angle, of a roof by calculating the ratio of the change in the roof's height to the corresponding horizontal distance. Roof pitc... Full Answer >Filed Under: