Question

Decide whether the pair of lines are paralell, perpendicular, or neither. 3x + 4y=5 4x+3y=9

Answer 1

solve both of them for Y
then you have it like:
\[\LARGE y=kx+b\]
and for paralel you have:
\[\LARGE k_1=k_2\]
if prependicular
\[\LARGE k_1\cdot k_2=-1 \]

Answer 2

I am not understanding, so its neither?

Answer 3

have you solved equations for Y?

Answer 4

find the slopes of the equations. if they are the same, then they are parallel. and if the product of the slopes is -1, they are perpendicular.

Answer 5

Is it perpendicular?

Answer 6

sadly, i have forgotten how to find the slope from the equation. you can google it

Answer 7

Sorry I wasn't here.. :(

I thought you would get the answer...

\[\LARGE y=-\frac34x+\frac 53\]
and \[\LARGE y=-\frac43x+\frac93\]
so you have:
\[\LARGE k=-\frac34 \quad \quad \quad ,\quad \quad k_1=-\frac43 \]
so we know that
\[\LARGE -\frac34\neq -\frac43 \]
and that means that \[\LARGE k\neq k_1\]
so they're not paralel
... and for prependicular we have:
\[\LARGE k\cdot k_1=-1\]
\[\LARGE -\frac34\cdot (-\frac43)=+1 \]
and we know that
\[\LARGE +1\neq -1\]
so they're not prependicular either .
so they look like:

@lovejones2012