Question

Question 1:explain how the condition for two nonvertical lines to be a parallel formula works in easiest way possible and the origin of the condition for two nonvertical lines to be a parallel formula with supported correct facts

make 4 example problem

Answer 1

Answer As a comption -: Both nonvertical Lines are on the parallel if and only if there slopes o, me ane poeppendiador same plane. Condition - we cay a 1900-vertical lines are equal o zle tano, ma = m₂ = tano Graphically 02 -(fig I) so we are saying e lllz, isto, = 02 condition - 2 Cor) We can also say ei, le are parallel itt their line equations dibber. by, constante ie, if l, 8 ay-mx + then l = y - moat Ca. Origin-2 We can see it from (fig 1) that la Jeest shift of L, hence onely change that happens in line equation is constanta Cmite coon line 1 is tem امام احم

For condition - 1) of love I not The origin stems from the fact that I lines are parallel when the cor if the pairs of honmontas corresponding angles made by a transveral line while wetting a lines are congruent re 1 nie 21 22 De 0 examples lis y = x l2: y = x-2 2 Pf claim lillele as & lz ane dilter by constant terms -2. Hence by cond-2 Et rb parallel for li mps d = 1; for (l2) m₂ = dy Ito dn into so tano, = m = m = tand 1 = Op = Oq=45° . net

then l, ze parallel to la (2) y = 3xty -L, y = 3a + 15 L2 о (3) 4,65 2x+3, L28= 2x, to -50% Lilll2 (4) ta on-5 lo= 6x tlo ا |۴ را