Answered

IDNStudy.com, kung saan ang iyong mga tanong ay may mabilis na sagot. Tuklasin ang malalim na sagot sa iyong mga tanong mula sa aming komunidad ng mga bihasang propesyonal.

Given the line 2x – 3y = 9 and the point (4, –1), find lines through the point that are:
(a) parallel to the given line and
(b) perpendicular to it.

Sagot :

Elijahlicodiniidn
in the equation 2x-3y=9 , 2x/3-3=y the slope is 2/3  and the poin (a)parallel to the given is the same to the slope parallel to this line so we can now subs. form the eqn y-y1=m(x-x1) so the eqn becomes y+1=2/3(x-4)  or 3y+3=2x-8 or in gen.form 2x-3y-11=0  and (b) perpendicular to the line is -1 divided by the slope of the line which is 2/3 so the slope of the perpendicular line is -3/2 then the eqn perpendicular to the line is y+1=-3/2(x-4) or 2y+2=-3x+12 or in gen.form 3x-2y+10=0
Natutuwa kami na ikaw ay bahagi ng aming komunidad. Huwag kalimutang bumalik upang magtanong at magbahagi ng iyong karanasan. Sama-sama tayong magpapaunlad ng kaalaman para sa lahat. Ang IDNStudy.com ay nangako na sasagutin ang lahat ng iyong mga tanong. Salamat at bisitahin kami palagi.