help on analytic geometry

**^_^Engineer_Adam^_^** · December 1st 2006, 08:22 AM

Help!!! Just this 1 problem

find the equations of two lines through A, one parallel and the other perpendicular to the line defined by the given equation:
30.) $A(-4,0), 4x+3y = 2$
thats all for today

thank you very much for all your helps!

**CaptainBlack** · December 1st 2006, 09:42 AM

Originally Posted by ^_^Engineer_Adam^_^

Help!!! Just this 1 problem

find the equations of two lines through A, one parallel and the other perpendicular to the line defined by the given equation:
30.) $A(-4,0), 4x+3y = 2$
thats all for today

thank you very much for all your helps!

Rewrite $4x+3y = 2$ in standard form: $y=-(4/3)x+2/3$ so the slope of lines parallel to this all have slope $-4/3$ , and the slope of a line perpendicular to this has slope $3/4$ .

Now the equation of the parallel line is:

$ y=-(4/3)x+c $

now it goes through $(-4,0)$ , so $0=-(4/3)(-4)+c$
so $c=-16/3$ , so:

$ y=-(4/3)x-16/3 $ .

A similar procedure gives the line at right angle to this one as:

$ y=(3/4)x+3 $

RonL

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