Answer:
The answer should be y = -[tex]\frac{3}{2}[/tex][tex]x[/tex] + 8, but its not one of the answers, so check the question again.
Step-by-step explanation:
If the second line is parallel, then the gradient will be the same:
y = -[tex]\frac{3}{2}[/tex][tex]x[/tex] + c
Find what c is (y-intercept) by inputting the given point into the equation (4,2):
2 = (-[tex]\frac{3}{2}[/tex] x 4) + c
2 = -6 + c
c = 8
