Question #ffc8d

1 Answer
Dec 7, 2016

No, this equation is linear, but does not follow the form "y = kx".

Explanation:

y = kx is the most simple way to look for a direct variation. (although it doesn't have to be linear, it could be y = #ksqrt(x)# or #kx^3# as well!) This function will go through (0,0).

If we solve your equation for y, we see:
#x = (y-3)/5# (multiply both sides by 5)
#5x = y - 3# (add 3 to both sides)
#5x+3 = y#

This linear equation does not have its intercept at the origin (0,0).