Question

can anyone help me understand how to estimate the slope of a tangent line?

Answer 1

If you have taken calculus you just take the derivative. If you have not, then you need to take change in y over the change in x for a small delta x around the point where you're looking for the tangent

Answer 2

I did study calculus, but I don't have the equation of the line, I just have 2 points in a line

Answer 3

draw a line from center of the circle to the point of tangent line that touches the circle , this new line is perpendicular to the tangent .
in perpendicular lines m1x m2=-1

Answer 4

Is the original function a line? If it is, and you have 2 points on it then you have the equation for the line

\[y-y_0 = [(y_1-y_0)/(x_1-x_0)] (x - x_0)\]

Answer 5

yes, thank you, I had forgotten about the slope equation