Answer:
The equation of the line would be y = -3/2x - 1
Step-by-step explanation:
In order to find this, we first need to find the slope of the original line. We do this by solving for y.
3x + 2y = 8
2y = -3x + 8
y = -3/2x + 4
Since we know parallel lines have the same slope, we know our new line has a slope of -3/2. We can now use that along with the point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - -4 = -3/2(x - 2)
y + 4 = -3/2x + 3
y = -3/2x - 1
