Question

Which of the following equations would not be a line when graphed? Explain how you can tell by just looking at the equations.

Answer 1

Answer:

$y=\frac{2}{x}$

$y= 6x^{2} -7$

Step-by-step explanation:

A linear function is one that has the following form:

$y= mx +b$

Where m corresponds to the slope (degree of inclination of the line), and b the cut point on the y-axis.

Now we search among the options those that correspond to the linear function formula  

a.

$y= 3x+4$

Is a linear function where

$m=3\\ b=4$

b.

$y=\frac{2}{x}$

Is not a linear function equation since the variable x is in the denominator

c.

$y=-5x$  

Is a linear function where

$m=-5\\ b=0$

d.

$y= 6x^{2} -7$

Is not a linear function since the variable x is squared.

Answer 2

Y=2/x. this equation has degree -1 whereas linear functions have degree 1

y=6x²-7 is nonlinear as it is degree 2