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<div style="text-align: center; font-weight: bold; color: #006600;"><span style="font-size: large;" data-mce-mark="1"> </span></div> <table style="background-color: #ffffcc; background-image: url('http://www.insmilaifontanals.cat/none'); float: none; text-align: left; vertical-align: top; border: 4px solid #003300; width: 400px; height: 186px;" border="4" frame="void" rules="none" align="center"> <tbody> <tr style="background-color: #336600;"> <td style="width: 50%; border: 1px solid #003300; background-color: #003300;" colspan="2" align="center" valign="middle"><span style="color: #ffff99; font-size: large;" data-mce-mark="1">Escriure l'equació d'una recta paral·lela</span></td> </tr> <tr> <td colspan="2" valign="top" width="50%"> <p><span style="text-decoration: underline; color: #003300;" data-mce-mark="1"><span style="font-weight: bold; font-size: small; text-decoration: underline;" data-mce-mark="1">AMB <span class="nolink">VECTORS</span></span></span></p> <p style="text-align: justify;"><span style="font-weight: bold; color: #003300; font-size: small;" data-mce-mark="1">Per escriure l'equació de la recta s, paral·lela a la recta r, fem servir el punt per on passa s i un vector director de r.</span></p> <p style="text-align: justify;"><span style="color: #003300;" data-mce-mark="1"><span style="font-size: small;" data-mce-mark="1"><em><span style="font-size: small;" data-mce-mark="1">Exemple: Si r és 2x-3y+5=0 té, (3,2) també és vector director de s. Si s passa pel punt (2,-2) la seva equació contínua és</span></em></span><span style="font-size: small;" data-mce-mark="1"> «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«mfrac mathcolor=¨#003300¨»«mrow»«mi mathvariant=¨normal¨»x«/mi»«mo»-«/mo»«mn»2«/mn»«/mrow»«mn»3«/mn»«/mfrac»«mo mathcolor=¨#003300¨»=«/mo»«mfrac mathcolor=¨#003300¨»«mrow»«mi mathvariant=¨normal¨»y«/mi»«mo»+«/mo»«mn»2«/mn»«/mrow»«mn»2«/mn»«/mfrac»«/mrow»«/mstyle»«/math» <em>d'on es poden deduir les altres equacions.</em></span></span></p> </td> </tr> <tr> <td colspan="2" valign="top" width="50%"> <p><span style="text-decoration: underline; color: #003300;"><span style="font-weight: bold; font-size: small; text-decoration: underline;" data-mce-mark="1"><span style="font-weight: bold; font-size: small; text-decoration: underline;" data-mce-mark="1">AMB PENDENTS</span></span></span></p> <p><span style="font-weight: bold; color: #003300; font-size: small;" data-mce-mark="1"><span style="font-weight: bold; font-size: small;" data-mce-mark="1">Una recta paral·lela a la recta r té el mateix pendent que r.</span></span></p> <p><span style="color: #003300;"><em><span style="font-size: small;"><span style="font-size: small;">Exemple: Una recta paral·lela a r: =2x-1 té per pendent 2 i s'escriu y = 2x + n. </span></span></em></span></p> <p><span style="color: #003300;"><em><span style="font-size: small;" data-mce-mark="1"><span style="font-size: small;" data-mce-mark="1">Si passa pel punt (<span style="font-size: small;" data-mce-mark="1">2</span>,<span style="font-size: small;" data-mce-mark="1">-2</span>), substituint x i y es troba que <span style="font-size: small;" data-mce-mark="1">-2</span> = 2·<span style="font-size: small;" data-mce-mark="1">2</span> + n, o sigui n = -6. </span></span></em></span></p> <p><span style="color: #003300;"><em><span style="font-size: small;" data-mce-mark="1"><span style="font-size: small;" data-mce-mark="1">L'equació explícita és doncs y = 2x-6</span></span></em></span></p> </td> </tr> </tbody> </table> <p> </p> <div style="text-align: justify;"><span style="font-weight: bold; color: #ff6600; font-size: large;" data-mce-mark="1"> </span></div>
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