If there is no slope in a graph, it means that the line is horizontal. A horizontal line has a slope of zero. To graph a horizontal line, you simply draw a straight line that is parallel to the x-axis. The equation of a horizontal line is typically in the form y = k, where k is a constant value.
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A line with no slope is a vertical line. The slope is undefined, and cannot be represented by a real number.
A horizontal line has a slope, but the slope is zero.
Consider the "y = mx + b" form of the straight line equation. For a horizontal line the slope is zero, so y = 0x +b => y = b, which is the equation of a horizontal line. For a vertical line, there is no slope, so you can't substitute for m; the equation can't be written in the form y = mx +b. The equation of a vertical line has the form x = a.
Nothing particular. The graph of y = x2, for example, changes slope at each point on the graph.
The graph of the equationy = 2x + any numberis a straight line with a slope of 2.
For example, if the slope at a certain point is 1.5, you can draw a line that goes through the specified point, with that slope. The line would represent the slope at that point. If you want to graph the slope at ALL POINTS, take the derivative of the function, and graph the derivative. The derivative shows the slope of a function at all points.
A straight line graph with negative slope slants downward from left to right.
Find the slope of the tangent to the graph at the point of interest.