Answer:
y=-3/4x-3.5
Step-by-step explanation:
First you want to isolate the y so that you know what the slope of the line is.
3x+4y=12
4y=-3x+12
y=-3/4x+12/4
y=-3/4x+3
When trying to find a line parallel to another, the slope should always be equal for both equations. Now that we have isolated the y, we know that the slope has to be -3/4
Now you want to find new equation. The standard form of a linear equation is y=mx+b. We know that we are missing the b value from this equation. To find this we will plug in the point that is given to us and solve.
y=-3/4x+b
-5=-3/4(2)+b
-5=-1.5+b
b=-5+1.5
b=-3.5
Know all we have to do is plus on all of the values to the standard equation.
y=-3/4x-3.5
