Answer:
y=−4/3x+8
Step-by-step explanation:
Let’s say that the parallel line takes on this form.
y=mx+b
If the line is parallel, that means that the m of the two lines are equal.
If we solve the line we were given for y, we find…
4x+3y=12→y=−4/3x+4
so, we know that our line that we’re trying to find must be of the form
y=−4/3x+b
Now we can plug in a point to fix that b part.
(4)=−43(3)+b→b=8
So, that means…
y=−4/3x+8
