Other Equation Related to Slope Intercept Form

There are some special cases of slope intercept form that are discussed as follows:

Slope Intercept Form (When x Intercept is given)

Equation of the line can also be represented when the x-intercept of the line is given. The slope-intercept form if the x-intercept of the line is,

y = m(x – d)

Where,

  • m is the Slope of the straight line, and
  • d is the x-intercept of the straight line.

Slope Intercept Form of Line Passing Through Origin

The intercept form of the equation can also be made to pass through the origin (0, 0). If the line passes through the origin then the y-intercept made by the line is 0, i.e. c = 0 in this case. Suppose a line with slope m passes through the origin, then its equation of the line in slope-intercept form is,

y =mx

Where m is the slope of the line.

Slope Intercept Form

Slope Intercept Form of a line is one of the many standard forms of equation of line. Equation of line is the algebraic way to represent a line.The various ways of representing the equation of a straight line are,

  • Slope intercept form
  • Intercept form
  • Point slope form
  • Two point form

Slope intercept form of the equation is used to represent the equation of a straight line when the slope of the equation and the intercept on the y-axis is given.

In this article, we will learn about the slope-intercept form of a straight line, its derivation, graphs, and examples.

Table of Content

  • What is Slope Intercept Form of a Line?
  • General Equation of Slope Intercept Form
  • How to Derive the Slope Intercept Form?
    • Derivation from Point-Slope Form
    • Derivation from Two Point Form
  • Other Equation Related to Slope Intercept Form
    • Slope Intercept Form (When x Intercept is given)
    • Slope Intercept Form of Line Passing Through Origin
  • Slope Intercept Form Graph
  • FAQs on Slope Intercept Form

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