- Y-intercept
In

coordinate geometry , the**"y"-intercept**is the y-value of the point where thegraph of a function or relation intercepts the "y"-axis of thecoordinate system .In other words, the "y"-intercept of a function is the y-value of the point at which it intersects the line "x"=0 (the "y"-axis). Thus, if the function is specified in form "y" = "f"("x"), the "y"-intercept is easy to find by calculating "f"(0). For example, in linear equations that are in the "slope-intercept" form of "y" = "mx" + "b", the value of "b" is the "y"-intercept. In general, in

polynomial expressions of form "y" = "P"("x"), where "P" is a polynomial, the constant term is the "y"-intercept of the polynomial. This is because all the other terms contain "x" and thus evaluate to zero when finding "P"(0).If the function is undefined at "x=0", for example "y=cot(x)", it has no "y"-intercept.

If the relationship is in the form "f"("x","y") = 0, or in the form of

parametric equation s, the correspondingequation (equations) must be solved. As a result, some 2-dimensional mathematical relationships such ascircle s,ellipse s, andhyperbola s can have more than one "y"-intercept. A function of form "y" = "f"("x"), however, has at most "one" "y"-intercept.The notion may be extended for 3-dimensional space and higher dimensions, as well as for other coordinate axes, possibly with other names. For example, one may speak of the "I"-intercept of the

I/V-characteristic of, say, adiode . An x-intercept, or root, is the x-value of the point where a function intersects the x-axis, or the line "y"=0. Unlike "y"-intercepts, functions of the form "y" = "f"("x") can, and often do, contain multiple "x"-intercepts.

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**Intercept**— In ter*cept , v. t. [imp. & p. p. {Intercepted}; p. pr. & vb. n. {Intercepting}.] [L. interceptus, p. p. of intercipere to intercept; inter between + capere to take, seize: cf. F. intercepter. See {Capable}.] [1913 Webster] 1. To take or seize by … The Collaborative International Dictionary of English**intercept**— in·ter·cept vt: to receive (a communication or signal directed elsewhere) usu. secretly shall not be unlawful...for a person acting under color of law to intercept a wire, oral, or electronic communication where such person is a party to the… … Law dictionary**Intercept**— can refer to: *X intercept, the point where a line crosses the x axis *Y intercept, the point where a line crosses the y axis *Interception (American football) *Telephone tapping *Tax refund interceptee also*Interception *Interceptor … Wikipedia**intercept**— UK US /ˌɪntəˈsept/ verb [T] ► to stop things, people, etc. as they go to a particular place: »Police intercepted a boat carrying over a million packs of cigarettes into the country illegally. »to intercept calls/communications/emails … Financial and business terms**intercept**— [in΄tər sept′; ] for n. [ in′tər sept΄] vt. [< L interceptus, pp. of intercipere, to take between, interrupt < inter , between + capere, to take: see HAVE] 1. to seize or stop on the way, before arrival at the intended place; stop or… … English World dictionary**Intercept**— In ter*cept , n. (Math.) A part cut off or intercepted, as a portion of a line included between two points, or cut off two straight lines or curves. [1913 Webster] … The Collaborative International Dictionary of English**Intercept method**— Intercept method. См. Метод отрезков. (Источник: «Металлы и сплавы. Справочник.» Под редакцией Ю.П. Солнцева; НПО Профессионал , НПО Мир и семья ; Санкт Петербург, 2003 г.) … Словарь металлургических терминов**intercept**— (v.) c.1400, from L. interceptus, pp. of intercipere take or seize between, to seize in passing, from inter between (see INTER (Cf. inter )) + cipere, comb. form of capere to take, catch (see CAPABLE (Cf. capable)). Related: Intercepted; … Etymology dictionary**intercept**— [v] head off; interrupt ambush, appropriate, arrest, block, catch, check, curb, cut in, cut off, deflect, head off at pass*, hijack, hinder, interlope, interpose, make off with, obstruct, prevent, seize, shortstop*, stop, take, take away;… … New thesaurus**intercept**— ► VERB ▪ obstruct and prevent from continuing to a destination. ► NOUN 1) an act of intercepting. 2) Mathematics the point at which a line cuts the axis of a graph. DERIVATIVES interception noun interceptor noun … English terms dictionary**Intercept method**— The Intercept Method , or Marcq St Hilaire method , as it is also rather inaccurately known, is an astronomical navigation method of calculating an observer s position on earth. It was originally called the azimuth intercept method because the… … Wikipedia