To find the slope of a line tangent to a point (x, f(x)) on a line, you can "draw" a secant line through two points (x, f(x)) and (x+h, f(x+h)). Then, identify

To find the slope of a line tangent to a point (x, f(x)) on a line, you can "draw" a secant line through two points (x, f(x)) and (x+h, f(x+h)). Then, identify the slope of the line passing through these two points. This gives an approximation of the slope of the tangent line passing through (x, f(x)). To get a more and more accurate approximation, you can look at what value the slope tends to as h approaches 0. So, (x+h, f(x+h)) gets closer and closer to (x, f(x)), the slope of the line passing through those two points tends closer to the tangent line passing through (x, f(x)). In other words, we are identifying the limit of the slope as h approaches 0. Based on the points of confusion you mentioned, I recommend a refresher on algebra. I think that will clear up your confusion