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Given a linear function in n variables, you need to select values for (n-1) of the variables. Solve the resulting function for the nth variable. Then the ordered n-tuple represents the coordinates, in n-dimensional space, of a point that is on the linear function.

Selecting different sets of (n-1) variables, and different values will result in different solutions. Together, these will from a line in n-dimensional space.

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Q: How do you find a point of a linear function?
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By finding something who's behavior is represented by a linear function and graphing it.


Is there an instance when a linear equation is not a function?

Yes, a vertical line is linear, but it is not a function, because every point on the line has the same x value.


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A linear function is called "linear" because it represents a straight line. To graph a linear function, find two points that satisify that function, plot them, and then draw a straight line between them.


How does the graph of an exponential function differ from the graph of a linear function and how is the rate of change different?

The graph of a linear function is a line with a constant slope. The graph of an exponential function is a curve with a non-constant slope. The slope of a given curve at a specified point is the derivative evaluated at that point.


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If the second derivative of a function is zero, then the function has a constant slope, and that function is linear. Therefore, any point that belongs to that function lies on a line.


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No a linear equation are not the same as a linear function. The linear function is written as Ax+By=C. The linear equation is f{x}=m+b.


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Is an exponential function linear?

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What is a slope in mathematics?

It's the gradient, or the steepness, of a linear function. It is represented by 'm' in the linear formula y=mx+b. To find the slope of a line, pick to points. The formula is (y2-y1)/(x2-x1). See the related link "Picture of a Linear Function for a picture of a linear function.


Is y equal xsquare minus 4 a linear function?

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