Find the slope of the tangent line to the graph of the function at the given point.
g(x) = 7/2x + 9, (-2, 2)
To find the slope of the tangent line to the graph of the function at the given point, you can use the derivative of the function.
The given function is g(x) = (7/2)x + 9.
To find the derivative of the function, you need to differentiate it with respect to x. For a linear function like this, the derivative will be a constant, which will give us the slope of the line.
Differentiating g(x) = (7/2)x + 9:
g'(x) = 7/2
So, the derivative of the function is 7/2.
Now that we have the derivative, we can find the slope of the tangent line to the graph of the function at the given point (-2, 2). The slope of the tangent line is equal to the derivative of the function evaluated at that point.
g'(-2) = 7/2
Therefore, the slope of the tangent line to the graph of the function at the point (-2, 2) is 7/2.