### Instruction: What is the intersection of the lines given by $y=-4x$ and $y-2=12x$? Express your answer as an ordered pair, with both coordinates expressed as common fractions.### Response: Let's start by rearranging the second equation so that it's in y=mx+b form.
That means we need to solve for y.
So we add 2 to both sides to get $y=12x+2$.
Now we can set both equations equal to each other since they both equal y.
So we have $-4x=12x+2$.
We can subtract $12x$ from both sides to get $-16x=2$.
And if we divide both sides by -16 we get $x=-1/8$.
Now we can substitute that value of x into either equation to find y.
Let's use the first equation. So when $x=-1/8$, $y=-4x$ so $y=1/2$.