Answer: 
Yes, (8,32) lie on the line y=4x 
Solution: 
Given equation of line 
y=4x ---- eqn 1 
Any point lie on the line if that point satisfies the equation of line. 
So from question given point is (8, 32) that is x=8 and y=32 
On substituting x=8 and y=32 in equation (1) 
32 = 4(8) 
32 = 32 
Since Left hand side is equal right hand side, the points (8,32) satisfies the equation of line y = 4x 
Hence (8,32) lie on the line y=4x