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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.
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How is the function differentiable in graph?
If the graph of the function is a continuous line then the function is differentiable. Also if the graph suddenly make a deviation at any point then the function is not differentiable at that point . The slope of a tangent at any point of the graph gives the derivative of the function at that point.
Suppose you graph y equals 5x - 4 Which function can you graph to increase the y-intercept by 6 but leave the slope unchanged?
y = 5x + 2
How does changing the slope of a linear function affect its graph?
It rotated the line about the point of intersection with the y-axis.
What do you call the point where a line on a graph changes slope?
Nothing particular. The graph of y = x2, for example, changes slope at each point on the graph.
The graph of which line has a slope of 2?
The graph of the equationy = 2x + any numberis a straight line with a slope of 2.
