Question

Given two linear equations, explain how you can determine if the lines are parallel without graphing them.

Answer 1

What are "given 2 linear equations"?

Answer 2

any two l. equations

Answer 3

use this eqto compare
y=mx+c
see if value of m is same in both eq.then thay are paralell..
where m=slope

Answer 4

thx

Answer 5

I give you the way to see whether they are // or not
First off, no matter what the form is, both equations MUST have the same form
If you have the forms of y = \(\color{red}{m}\)x +b
and If your equations have the same \(\color{red}{m}\), then they are //
For example : y = \(\color{red}{5}\) x+7
y = \(\color{red}{5}\) x+9
then, they are parallel
If you have the forms of ay + bx =c, then you must have a, b are the same on both equations, then they are parallel
For example: \(\color{red}{5}\) y+\(\color{red}{7}\) x=7
\(\color{red}{5}\) y+\(\color{red}{7}\) x=15
then, they are parallel
If you have the first equation has the form y = mx +b
and the second is in the form of ax +by =c
you Must convert the first or the second one to have them be in the same form to consider.