In mathematics, the tangent line to a curve at a point is a straight line that touches the curve at this point only. The tangent line can provide valuable insights into the properties of the curve, ...

As a tangent is a straight line it is described by an equation in the form \(y - b = m(x - a)\). You need both a point and the gradient to find its equation. You are usually given the point - it's ...

Find \(\ds \lim_{h\to 0}\frac{f(1+h)-f(1)}{h}\) where \(\ds f(x)=\frac{3x+1}{x-2}\text{.}\) What does the result in (a) tell you about the tangent line to the graph ...

Microsoft's Excel software for Mac can execute a number of statistical functions, including finding the y-intercept of the line formed by a set of data points. Excel's intercept function takes the ...

In math and statistics, you may occasionally need to calculate the slope of a line generated by coordinates in the (x,y) format. The slope is a value that indicates the rate at which the y value of a ...

Finding the slope of a linear function is straightforward. Furthermore the slope is the same at each point on the function. However this is not the case with non-linear functions. A non-linear ...