For the function f(x)=x^(2)+5x-9, find the slope of the secant line between x=-7 and x=4. Answer:

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For the function  f(x)=x^(2)+5x-9, find the slope of the secant line between  x=-7 and  x=4. Answer:

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Slope Formula: To find the slope of the secant line between two points on a function, we use the formula for slope, which is the change in y-values divided by the change in x-values. This is also known as the difference quotient and is given by (f(x2) - f(x1)) / (x2 - x1), where x1 and x2 are the x-values of the two points.Find f(-7): First, we need to find the y-value when x = -7 by substituting -7 into the function f(x). So, f(-7) = (-7)^2 + 5(-7) - 9.Calculate f(-7): Calculating f(-7) gives us f(-7) = 49 - 35 - 9 = 5.Find f(4): Next, we need to find the y-value when x = 4 by substituting 4 into the function f(x). So, f(4) = (4)^2 + 5(4) - 9.Calculate f(4): Calculating f(4) gives us f(4) = 16 + 20 - 9 = 27.Identify Two Points: Now we have the two points on the function: (-7, 5) and (4, 27). We can use these to find the slope of the secant line.Calculate Slope: The slope of the secant line is (f(4) - f(-7)) / (4 - (-7)) = (27 - 5) / (4 + 7).Final Result: Calculating the slope gives us (22) / (11) = 2.

For the function $f(x)=x^{2}+5 x-9$ , find the slope of the secant line between $x=-7$ and $x=4$ . $\newline$ Answer:

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For the function f(x)=x2+5x−9 f(x)=x^{2}+5 x-9 f(x)=x2+5x−9, find the slope of the secant line between x=−7 x=-7 x=−7 and x=4 x=4 x=4.\newlineAnswer:

For the function $f(x)=x^{2}+5 x-9$ , find the slope of the secant line between $x=-7$ and $x=4$ . $\newline$ Answer: