Answer:
Step-by-step explanation:
let's rearrange the equation 3 x − 2 y = 2 a bit. (isolate y)
3x - 2 /2 = 2y /2
(3x-2)/2 = y
[tex]\frac{3}{2} x[/tex] - 1 = y
The slope for the equation is 3/2.
Rule: Parallel lines have the same slope
So we know that the slope of the line we need to find is 3/2.
y = mx +b
y = (3/2)(x) + b
Now plug in the point (-6,-2) to find b
-2 = (3/2)(-6) + b
-2 = -9 + b
-2 + 9 = -9 + b + 9
7 = b
b = 7
Therefore the equation of the line we need to find: y = [tex]\frac{3}{2}x + 7[/tex]
