The slope of the "secant line" between the points (2, 5) and (x, x 2 + 1) in simplified form is, what?
In "x 2 + 1", what is the operation symbol between x and 2?
change in y divided by the change in x.
the change in y is x^2+1-2
the change in x is x-2
I suspect that can be simpilified.
To find the slope of the secant line between the points (2, 5) and (x, x^2 + 1), we can use the slope formula.
The slope formula is given by:
m = (y2 - y1) / (x2 - x1)
In this case, we have (x1, y1) = (2, 5) and (x2, y2) = (x, x^2 + 1).
So, let's substitute these values into the slope formula:
m = (x^2 + 1 - 5) / (x - 2)
Simplifying this expression, we have:
m = (x^2 - 4) / (x - 2)
Therefore, the slope of the secant line between the points (2, 5) and (x, x^2 + 1) in simplified form is (x^2 - 4) / (x - 2).