You can put this solution on YOUR website!
Please don't yell. We can hear you. We have new batteries in the hearing aids.
HELLO I AM LOST ON THIS PROBLEMI I WAS ABLE TO COME UP WITH PART OF THE ANSWER BUT I AM NOW STUCK. I ALSO HAVE NO CLUE HOW TO GRAPH THIS ANY HELP WOULD BE APPRECIATED.
All Caps is internet yelling.
If it passes through x=3 that means the new line at some time has x=3
the original line has the equation 6x - 4y + 12 = 0
it has a slope of -a/b=-6/-4=3/2
The new line will also have a slope of 3/2
and an x of 3
y=3x/2 is our new line
We are pretty sure it will pass through x=3
But how can we be sure?
The only lines that won't pass through x=3 are parallel with x=3 x=3 has an undefined slope since y never changes.
Our line has a slope of 3/2 so they do intersect.
As a further test we can see if the original line passes through x=3
by plugging in 3 for x in the original equation but it is not necessary.