Algebra-1

To determine which equations describe a linear function, we need to identify those that can be expressed in the form y=mx+b, where m and b are constants.

 

Let's analyze each equation:

A: 2x−y=16

Rewrite it in the form y=mx+b:

y=2x−16

This equation is linear because it is in the form where y depends linearly on x.

Linear function: Yes

 

B: y=3x³

This equation is not linear because it includes 3x³, which is a cubic term.

Linear function: No

 

C: y=4x²+6x

This equation includes 2x² and x, but not in a linear combination.

It is a quadratic equation, not linear.

Linear function: No

 

D: 2x+3y²=36

Rearrange to solve for y:

3y²=36−2x