Given the problem:
Determine if 4y=16x-24 is linear, why?
First, let’s simply this equation. It’s in y=mx+b, which is slope intercept. And all slope intercept equations are linear. m is the slope, b is the y intercept.
4y=16x-24
This is pretty simple. All you have to do is divide both sides by 4:
y=4x-6
So yes this equation is linear because it’s in slope intercept form. The line has a slope of 4 and y intercept of -6.