Linear and Nonlinear functions

Question

Does the equation represent a linear or a nonlinear function? Explain.

2x+3y=7

y+x=4x+5

Answer 1

Sorry to keep you up. I just saw this.

 

In both cases, if you solve for y, you get a function in x. That's the equation of a line - in this case in slope-intercept form. So they're both linear.

 

I will do one as an example.

 

2x + 3y =7 (this, by the way, is the equation of a line in standard form)

 

3y = -2x + 7

 

y = (-2/3)x + (7/3)

 

slope-intercept form. Sleep well!