<prompt> Tafuta uhakika kwenye mstariy -3x 5ambayo iko karibu zaidi na uhakika -4,-2.  <response>: Kumbuka kuwa 0,5 na 1,2 ni alama mbili kwenye mstari, kwa hivyo mstari una vekta ya mwelekeo waanzapmatrix 1 2 mwishopmatrix - anzapmatrix 0 5 mwishopmatrix anzapmatrix 1 -3 mwishopmatrix. asyukubwa wa kitengo sentimita 0.4;jozi A, B, C, D, P, V;A 5 103, -10;B 5 - 103, 10;V -4,-2;P V tafakariA,BV2;C 0,5;D 1,2;chora-10,0--10,0;chora0,-10--0,10;choraA--B,nyekundu;kuchoraV--P,dashed;choraC--V,Arrow6;choraC--D,Arrow6;nukta-4,-2, V, SW;nukta0,5, C, E;nukta1,2, D, E;asyVekta inayotoka 0,5 hadi -4,-2 ni beginpmatrix -4 -2 mwishopmatrix - anzapmatrix 0 5 endpmatrix anzapmatrix -4 -7 mwishopmatrix. Kuweka vekta hii kwenye vekta ya mwelekeo, tunapatajina la operetaproj_anzapmatrix 1 -3 mwishopmatrix anzapmatrix -4 -7 mwishopmatrix fracanzapmatrix -4 -7 mwishopmatrix cdot anzapmatrix 1 -3 mwishopmatrixleft anzapmatrix 1 -3 mwishopmatrix kulia2 anzapmatrix 1 -3 mwishopmatrix frac1710 anzapmatrix 1 -3 mwishopmatrix anzapmatrix frac1710 -frac5110 endpmatrix.asyusepackageamsmath;ukubwa wa kitengo sentimita 0.4;jozi A, B, C, D, P, V;A 5 103, -10;B 5 - 103, 10;V -4,-2;P V tafakariA,BV2;C 0,5;D 1,2;chora-10,0--10,0;chora0,-10--0,10;choraA--B,nyekundu;kuchoraV--P,dashed;choraC--V,Arrow6;choraC--P,Arrow6;nukta-4,-2, V, SW;nukta0,5, C, E;nuktabeginpmatrix frac1710 -frac5110 endpmatrix, P, NE;asyKishaanzapmatrix 0 5 mwishopmatrix anzapmatrix frac1710 -frac5110 endpmatrix anza pmatrix frac1710 -frac110 endpmatrix,kwa hivyo uhakika kwenye mstari ulio karibu na -4,-2 ni left frac1710, -frac110 kulia. 