Answered

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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