Step 1 : Let's recall that we already know the slope of line B. It is the same than line A. because they are parallel.
Therefore, m = -2/3
Step 2 : Let's set up an equation in slope-intercept form and use the point given to solve for the y-intercept, this way:
y = mx + b
6 = -2/3 (-3) + b
6 = -2 + b
b = 2 + 6
b = 8
Step 3: Let's write the equation for line B:
y = -2/3 + 8
This is the answer, King Rosco!
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