Equation of a Line, Tangent Lines
On this page we hope to demonstrate the following:
Equation of a Line, standard form and point-slope
Ex: y = 3x + 4, y - 7 = 3(x - 1)
Finding x-intercept and y-intercept
Finding the equation of tangent lines
Ex: Find the equation of the tangent line of y = x3 at x = 2
Equation of a line
Standard Form
When we try to graph polynomials, we quickly find that a polynomial of single degree, where nothing is squared or square-rooted, is always going to be a line. Let's analyze the line y = 3x + 4, whose equation is written in standard form.