We first need to convert 3x - 2y = 8 into y = mx + b form.
To do this, we first subtract 3x from
both sides and we have -2y = -3x + 8.
Now divide both sides by -2 and we have y = 3/2x - 4.
Now, we want the slope parallel to this given line.
Since the m or the coefficient of the x term
represents slope, we know this line has a slope of 3/2.
Now, it's important to understand that parallel lines have the same slope.
So the slope of the line parallel to this line will also be 3/2.
Steps to solve:
2 + 3(z - 3) = z + 3z + 6z
~Distribute left side and simplify right side
2 + 3z - 9 = 10z
~Simplify left side
3z - 7 = 10z
~Subtract 3z to both sides
-7 = 7z
~Divide 7 to both sides
-1 = z
Best of Luck!
