{"id":1096,"date":"2024-05-10T12:04:59","date_gmt":"2024-05-10T12:04:59","guid":{"rendered":"https:\/\/gbelentzas.sites.sch.gr\/?p=1096"},"modified":"2024-05-10T12:22:10","modified_gmt":"2024-05-10T12:22:10","slug":"%ce%ba%ce%bb%ce%af%cf%83%ce%b7-%cf%84%ce%b7%cf%82-%ce%b5%cf%85%ce%b8%ce%b5%ce%af%ce%b1%cf%82-y%ce%b1x","status":"publish","type":"post","link":"https:\/\/gbelentzas.sites.sch.gr\/?p=1096","title":{"rendered":"\u039a\u03bb\u03af\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03b5\u03c5\u03b8\u03b5\u03af\u03b1\u03c2 y=\u03b1x"},"content":{"rendered":"
\n

<\/i> Math How-To Guide<\/span><\/strong><\/em><\/h4>\n<\/div>\n

\u0386\u03c3\u03ba\u03b7\u03c3\u03b7. \u03a0\u03bf\u03b9\u03b1 \u03b1\u03c0\u03cc \u03c4\u03b9\u03c2 \u03c0\u03b1\u03c1\u03b1\u03ba\u03ac\u03c4\u03c9 \u03b5\u03c5\u03b8\u03b5\u03af\u03b5\u03c2 \u03ad\u03c7\u03b5\u03b9 \u03ba\u03bb\u03af\u03c3\u03b7 <\/span>\"\textcolor{blue}{-\dfrac{1}{3}}\";<\/span><\/p>\n

\u03b1)<\/span> \"\textcolor{blue}{y=3x} \qquad\"<\/p>\n

\u03b2) <\/span>\"\textcolor{blue}{y=-3x} \qquad\"<\/p>\n

\u03b3) <\/span>\"\textcolor{blue}{y=\dfrac{1}{3} x} \qquad\"<\/p>\n

\u03b4) <\/span>\"\textcolor{blue}{y=-\dfrac{1}{3} x} \qquad\"<\/p>\n

\u03b5) <\/span>\"\textcolor{blue}{y=x-\dfrac{1}{3}}\"<\/p>\n

\u038c\u03bb\u03b5\u03c2 \u03bf\u03b9 \u03c0\u03b1\u03c1\u03b1\u03c0\u03ac\u03bd\u03c9 \u03b5\u03be\u03b9\u03c3\u03ce\u03c3\u03b5\u03b9\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03b7\u03c2 \u03bc\u03bf\u03c1\u03c6\u03ae\u03c2 \"y=\gra x\", \u03b5\u03c0\u03bf\u03bc\u03ad\u03bd\u03c9\u03c2 \u03b7 \u03ba\u03bb\u03af\u03c3\u03b7 \u03c4\u03bf\u03c5\u03c2 \u03b5\u03b9\u03bd\u03b1\u03b9 \u03b1.<\/p>\n

\u0398\u03ad\u03bb\u03bf\u03c5\u03bc\u03b5 \u03b7 \u03ba\u03bb\u03af\u03c3\u03b7 \u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \"-\dfrac{1}{3}\" \u03b4\u03b7\u03bb\u03b1\u03b4\u03ae \"\gra=-\dfrac{1}{3}\".<\/p>\n

\u0395\u03c0\u03bf\u03bc\u03ad\u03bd\u03c9\u03c2, \u03b7 \u03b5\u03c5\u03b8\u03b5\u03af\u03b1 \u03b8\u03b1 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03ad\u03c7\u03b5\u03b9 \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7 \"y=-\dfrac{1}{3}x\" (\u03b1\u03c0\u03ac\u03bd\u03c4\u03b7\u03c3\u03b7 \u03b4)<\/p>\n

\n
\n

\u00a0<\/i> \u00a0\u03a3\u03b7\u03bc\u03b5\u03b9\u03ce\u03c3\u03b5\u03b9\u03c2 \u0398\u03b5\u03c9\u03c1\u03af\u03b1\u03c2<\/strong><\/em><\/span><\/h4>\n<\/div>\n
    \n
  • H \u03b3\u03c1\u03b1\u03c6\u03b9\u03ba\u03ae \u03c0\u03b1\u03c1\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7\u03c2 y = \u03b1x \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b9\u03b1 \u03b5\u03c5\u03b8\u03b5\u03af\u03b1 \u03c0\u03bf\u03c5 \u03b4\u03b9\u03ad\u03c1\u03c7\u03b5\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03b1\u03c1\u03c7\u03ae \u039f \u03c4\u03c9\u03bd \u03b1\u03be\u03cc\u03bd\u03c9\u03bd \u03ba\u03b1\u03b9 \u03ad\u03c7\u03b5\u03b9 \u03ba\u03bb\u03af\u03c3\u03b7<\/strong> \u03b1.<\/li>\n
  • \u0397 \u03b5\u03c5\u03b8\u03b5\u03af\u03b1 \u03bc\u03b5 \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7 \"y = x\" \u03b5\u03af\u03bd\u03b1\u03b9 \u03b4\u03b9\u03c7\u03bf\u03c4\u03cc\u03bc\u03bf\u03c2 \u03c4\u03b7\u03c2 1\u03b7\u03c2 \u03ba\u03b1\u03b9 3\u03b7\u03c2 \u03b3\u03c9\u03bd\u03af\u03b1\u03c2 <\/strong>\u03c4\u03c9\u03bd \u03b1\u03be\u03cc\u03bd\u03c9\u03bd \u03ba\u03b1\u03b9 \u03b7 \"y = - x\" \u03b5\u03af\u03bd\u03b1\u03b9 \u03b4\u03b9\u03c7\u03bf\u03c4\u03cc\u03bc\u03bf\u03c2 \u03c4\u03b7\u03c2 2\u03b7\u03c2 \u03ba\u03b1\u03b9 \u03c4\u03b7\u03c2 4\u03b7\u03c2 \u03b3\u03c9\u03bd\u03af\u03b1\u03c2.<\/strong><\/li>\n<\/ul>\n
    \n
    \n

    <\/i> Let’s practice<\/strong><\/em><\/span><\/h4>\n<\/div>\n

    \u0386\u03c3\u03ba\u03b7\u03c3\u03b7 1.<\/strong> \u039c\u03b9\u03b1 \u03b5\u03c5\u03b8\u03b5\u03af\u03b1 \u03b4\u03b9\u03ad\u03c1\u03c7\u03b5\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03b1\u03c1\u03c7\u03ae \u03c4\u03c9\u03bd \u03b1\u03be\u03cc\u03bd\u03c9\u03bd \u03ba\u03b1\u03b9 \u03b1\u03c0\u03cc \u03c4\u03bf \u03c3\u03b7\u03bc\u03b5\u03af\u03bf \u0391(5,0). \u00a0<\/span>\u039d\u03b1 \u03b2\u03c1\u03b5\u03af\u03c4\u03b5 \u03c4\u03b7\u03bd \u03ba\u03bb\u03af\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03b5\u03c5\u03b8\u03b5\u03af\u03b1\u03c2 \u03ba\u03b1\u03b9 \u03bd\u03b1 \u03b3\u03c1\u03ac\u03c8\u03b5\u03c4\u03b5 \u03c4\u03b7\u03bd \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03b5\u03c5\u03b8\u03b5\u03af\u03b1\u03c2.\u00a0<\/span><\/p>\n

    \u0386\u03c3\u03ba\u03b7\u03c3\u03b7 2.<\/strong> \u039d\u03b1 \u03c3\u03c7\u03b5\u03b4\u03b9\u03ac\u03c3\u03b5\u03c4\u03b5 \u03c3\u03b5 \u03ad\u03bd\u03b1 \u03bf\u03c1\u03b8\u03bf\u03b3\u03ce\u03bd\u03b9\u03bf \u03c3\u03cd\u03c3\u03c4\u03b7\u03bc\u03b1 \u03b1\u03be\u03cc\u03bd\u03c9\u03bd \u03c4\u03b7\u03bd \u03b5\u03c5\u03b8\u03b5\u03af\u03b1 \u03b7 \u03bf\u03c0\u03bf\u03af\u03b1 \u03b4\u03b9\u03ad\u03c1\u03c7\u03b5\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03b1\u03c1\u03c7\u03ae \u03c4\u03c9\u03bd \u03b1\u03be\u03cc\u03bd\u03c9\u03bd \u03ba\u03b1\u03b9 \u03ad\u03c7\u03b5\u03b9 \u03ba\u03bb\u03af\u03c3\u03b7 -2.<\/p>\n

    \u0386\u03c3\u03ba\u03b7\u03c3\u03b7 3.<\/strong> \u0394\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03b7 \u03b5\u03c5\u03b8\u03b5\u03af\u03b1 \"y=\left(\frac{5 \lambda-2}{3}-4\right) \cdot x\".<\/p>\n

    \u03b1) \u039d\u03b1 \u03b2\u03c1\u03b5\u03af\u03c4\u03b5 \u03c4\u03bf \u03bb \u03ce\u03c3\u03c4\u03b5 \u03b7 \u03b5\u03c5\u03b8\u03b5\u03af\u03b1 \u03bd\u03b1 \u03ad\u03c7\u03b5\u03b9 \u03ba\u03bb\u03af\u03c3\u03b7 2.\u00a0<\/span><\/p>\n

    \u03b2) \u039d\u03b1 \u03c3\u03c7\u03b5\u03b4\u03b9\u03ac\u03c3\u03b5\u03c4\u03b5 \u03c4\u03b7\u03bd \u03c0\u03b1\u03c1\u03b1\u03c0\u03ac\u03bd\u03c9 \u03b5\u03c5\u03b8\u03b5\u03af\u03b1.\u00a0<\/span><\/p>\n

    \u0386\u03c3\u03ba\u03b7\u03c3\u03b7 4.<\/strong> \u0394\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03b7 \u03b5\u03c5\u03b8\u03b5\u03af\u03b1 \"y=(6-2 \lambda) \cdot x.\" \u039d\u03b1 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03c3\u03b5\u03c4\u03b5 \u03c4\u03b7\u03bd \u03c4\u03b9\u03bc\u03ae \u03c4\u03bf\u03c5 \u03bb \u03b1\u03bd<\/p>\n

    \u03b1) \u03b7 \u03b5\u03c5\u03b8\u03b5\u03af\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b4\u03b9\u03c7\u03bf\u03c4\u03cc\u03bc\u03bf\u03c2 \u03c4\u03b7\u03c2 1\u03b7\u03c2 \u03ba\u03b1\u03b9 3\u03b7\u03c2 \u03b3\u03c9\u03bd\u03af\u03b1\u03c2 \u03c4\u03c9\u03bd \u03b1\u03be\u03cc\u03bd\u03c9\u03bd<\/p>\n

    \u03b2) \u03b7 \u03b5\u03c5\u03b8\u03b5\u03af\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b4\u03b9\u03c7\u03bf\u03c4\u03cc\u03bc\u03bf\u03c2 \u03c4\u03b7\u03c2 2\u03b7\u03c2 \u03ba\u03b1\u03b9 4\u03b7\u03c2 \u03b3\u03c9\u03bd\u03af\u03b1\u03c2 \u03c4\u03c9\u03bd \u03b1\u03be\u03cc\u03bd\u03c9\u03bd<\/p>\n","protected":false},"excerpt":{"rendered":"

    Math How-To Guide \u0386\u03c3\u03ba\u03b7\u03c3\u03b7. \u03a0\u03bf\u03b9\u03b1 \u03b1\u03c0\u03cc \u03c4\u03b9\u03c2 \u03c0\u03b1\u03c1\u03b1\u03ba\u03ac\u03c4\u03c9 \u03b5\u03c5\u03b8\u03b5\u03af\u03b5\u03c2 \u03ad\u03c7\u03b5\u03b9 \u03ba\u03bb\u03af\u03c3\u03b7 ; \u03b1) \u03b2) \u03b3) \u03b4) \u03b5) \u038c\u03bb\u03b5\u03c2 \u03bf\u03b9 \u03c0\u03b1\u03c1\u03b1\u03c0\u03ac\u03bd\u03c9 \u03b5\u03be\u03b9\u03c3\u03ce\u03c3\u03b5\u03b9\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03b7\u03c2 \u03bc\u03bf\u03c1\u03c6\u03ae\u03c2 , \u03b5\u03c0\u03bf\u03bc\u03ad\u03bd\u03c9\u03c2 \u03b7 \u03ba\u03bb\u03af\u03c3\u03b7 \u03c4\u03bf\u03c5\u03c2 \u03b5\u03b9\u03bd\u03b1\u03b9 \u03b1. \u0398\u03ad\u03bb\u03bf\u03c5\u03bc\u03b5 \u03b7 \u03ba\u03bb\u03af\u03c3\u03b7 \u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b4\u03b7\u03bb\u03b1\u03b4\u03ae . \u0395\u03c0\u03bf\u03bc\u03ad\u03bd\u03c9\u03c2, \u03b7 \u03b5\u03c5\u03b8\u03b5\u03af\u03b1 \u03b8\u03b1 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03ad\u03c7\u03b5\u03b9 \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7 (\u03b1\u03c0\u03ac\u03bd\u03c4\u03b7\u03c3\u03b7 \u03b4) \u00a0 \u00a0\u03a3\u03b7\u03bc\u03b5\u03b9\u03ce\u03c3\u03b5\u03b9\u03c2…<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-1096","post","type-post","status-publish","format-standard","hentry","category-11"],"featured_image_src":null,"author_info":{"display_name":"admin","author_link":"https:\/\/gbelentzas.sites.sch.gr\/?author=1"},"yoast_head":"\n\u039a\u03bb\u03af\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03b5\u03c5\u03b8\u03b5\u03af\u03b1\u03c2 y=\u03b1x - 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