Answer: y=-4/3x-3
Explanation:
So we are going to put 4x+3y=15 into y=mx+b form because it makes things so much easier.
4x+3y=15
-4x -4x
3y=-4x+15
/3 /3 /3
y=-4/3x+5
A line parallel to this will have to have the same slope. We can plug in the x and y values of the coordinate points and the slope to find the y-intercept.
1=-4/3(-3)+b
1=4+b
-4 -4
-3 = b
3 is our y-intercept so we now have all the parts to our equation and we just have to put them all together. When we do that, we end up with y=-4/3x-3