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What happens to the graph of a line when the slope is negative?
Looking from left to right, or as the x values get larger, the y values are decreasing. On a graph the line would be tilted down if you follow from left to right.
What is a positive and negative value for M in the formula y equals Mx plus B?
The formula y=Mx + B is the slope intercept equation of a line. If you where to graph this on a 2 dimensional graph with x and y axes the number represented by M would be the slope of the line. A positive value of M would mean a positive slope and the line will rise as one views it from left to right. A negative value of M would indicate a negative slope and the line will descend as one views it from left to right. A value of zero for M would indicate a horizontal line.
How do you graph the slope of a function?
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.
What would be the corresponding graph for y equals -3x?
The graph of [ y = -3x ] is a straight line, through the origin, with slope of -3 .
Does in linear graphs the slope of the line change with the x coordinate?
In a linear graph the slope is the same everywhere, assuming vertical line graphs are not allowed. Depending on context, a vertical line (say x = 3) is not always allowed. If the graph is a vertical line then the slope is infinite at the single value of x. (That would be 3 in the example above.) The slope would then be undefined elsewhere.
