Lissafin Daidaito na Layi

Ƙa’ida

Don gatari + b = 0 tare da ≠ 0: x = −b ÷ a. Ga layi a cikin siffar tsallakawa-tsallake y = mx + c: gangaren shine m (hauwa akan gudu), tsallakawa y shine c (ƙimar a x = 0), kuma tsallakawa x shine −c ÷ m (ƙimar x inda y = 0, lokacin da m ≠ 0). Idan a = 0, gatari + b = 0 ba shi da mafita sai dai idan b shima 0 ne, a wannan yanayin kowane x mafita ne.

Misalin aiki

3x + 6 = 0: x = −6 ÷ 3 = −2. Duba: 3 × (−2) + 6 = 0. Ga layin y = 2x + 3: gangaren shine 2 (y yana tashi 2 ga kowane mataki 1 a cikin x), y-intercept shine 3, kuma x-intercept shine −3 ÷ 2 = −1.50. Layin ya ratsa axis ɗin y a (0, 3) da kuma axis ɗin x a (−1.50, 0).

Amfani da iyakoki

Wannan shafin yana warware daidaiton layi ɗaya a cikin ma'auni ɗaya kuma yana bayyana layuka madaidaiciya. Ba ya warware daidaiton quadratics (duba kalkuleta na daidaiton quadratic), tsarin daidaiton (duba kalkuleta na tsarin daidaito), ko rashin daidaito - kodayake x-intercept na y = mx + c yana gaya muku inda alamar mx + c ke canzawa. Shigarwa lambobi ne marasa ma'ana; Dole ne a shigar da ɓangarori a matsayin adadi mai yawa, kuma manyan ko ƙananan ma'auni na iya rasa daidaito a cikin nuni, kodayake lissafin da ke ƙasa shine daidaitaccen daidaito biyu.

Sigar tsari: b0ca1d89e87c · An duba misali: 2026-10-31

FAQ

Me zai faru idan a = 0?

Sannan lissafin shine b = 0, wanda bai ƙunshi x ba. Idan b kuma shine 0, kowane ƙimar x ya gamsar da shi (daidaitaccen asali ne). Idan b ba shine 0 ba, babu ƙimar x da ta gamsar da shi. Shafin ya faɗi wane yanayi ya shafi maimakon raba shi da sifili.

Menene gangaren yake nufi a zahiri?

Hauwa akan gudu: nawa y ke canzawa lokacin da x ya ƙaru da 1. Gangaren 2 yana nufin hawa y 2 a kowane mataki na x; gangaren −0.5 yana nufin y ya faɗi rabin raka'a a kowane mataki na x. Gangaren 0 layi ne na kwance.

Ta yaya zan karanta x-intercept?

A nan ne layin ya ratsa axis na x, wato inda y = 0. Don y = 2x + 3, warware 2x + 3 = 0 yana ba da x = −1.50 — lissafi iri ɗaya da mai warware lissafi, wanda ba daidaituwa ba ne: intercepts mafita ne kawai na lissafi.

Zan iya shigar da sassan jiki?

Shigar da su a matsayin decimals (1/2 a matsayin 0.5). Shafin yana nuna sakamako zuwa decimals guda biyu; maimaita decimals kamar 1/3 nuni kamar 0.33, don haka don aikin fractional daidai, ci gaba da siffar fraction tare da su.

Menene bambanci tsakanin slope-intercept da tsari na yau da kullun?

Tsarin slope-intercept y = mx + c yana fallasa gangaren da y-intercept kai tsaye. Tsarin Ax + By = C shine layin da aka sake tsara shi: m = −A ÷ B da c = C ÷ B (lokacin da B ≠ 0). Wannan shafin yana aiki a cikin siffar karkatar da gangara.

Me yasa duban yake da mahimmanci?

Sauya maganin baya yana kama kurakuran alamun, kuskuren da aka fi sani a cikin lissafin layi. Don 3x + 6 = 0, x = −2 yana duba saboda 3(−2) + 6 = 0; x = 2 zai ba 12, ba 0 ba.

Kayan aiki masu alaƙa

• Kalkuleta Daidaito na Huɗu — tushen gatari² + bx + c = 0
• Kalkuleta na Jadawali — lissafin kashi daidai ba tare da adadi mai yawa ba
• Kashi na Kashi na Kashi na Kashi — canje-canje da rabon kashi