point = (6,-2)
Parallel to y= 2/3x+4
If 2 lines are parallel, both have the same slope
Slope intercept form:
y= mx +b
where:
m= slope
b= y intercept
so, for y= 2/3x+4
slope = 2/3
So far we have
y= 2/3x +b
Replace x,y by the coordinate point given (6,-2) and solve for b:
-2 = 2/3 (6) + b
-2 = 4 + b
-2-4 = b
-6 = b
Final equation:
y= 2/3x - 6