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although we know five common forms of linear equations, less used items are some of the following: a] standard form b] intercept form, also called two intercept form or double intercept form. c] parametric form d] two point form e] symmetric equation f] polar form thru the pole



Answer :

a) One way of expressing linear equations is in their standard form. The general form of a linear equation, commonly referred to as the standard form, is written as Ax + By = C.

b) Point-slope form, slope-intercept form, intercept form, etc. are the methods that are most often seen. All of these techniques, which use a point and slope, a slope and y-intercept, two points on the line, intercepts of coordinates of the supplied points, etc., respectively, deal with deviation and expression of the equation of the given line.

c) There are two functions on the planes x(t) and y that make up a parametric curve (t). The (x,y) coordinates are described by these functions in relation to a parameter called t. These equations are often used in many other fields of mathematics, such as trigonometry and many other disciplines of physics for a range of motion.

d) Two-point form can be used to express the equation of a line in the coordinate plane. The equation of a line represents each and every point on the line, i.e., it is satisfied by each point on the line.

e) An equation that displays the two variables x and y in relation to the x-intercept and y-intercept of this line as they are represented in a Cartesian plane is known as the symmetric form of the equation of a line. This is how the symmetric form is written: xa+yb=1, where a and b are non-zero.

f) In Cartesian coordinates, a straight line equation is y=mx+b where m is a numerical slope and b is a numerical y-intercept.

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