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

y = 3x+4
y= 2/x
y= -5x
y= 6x^2 -7

Respuesta :

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

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

Answer:

[tex]y=\frac{2}{x}[/tex]

[tex]y= 6x^{2} -7[/tex]

Step-by-step explanation:

A linear function is one that has the following form:

[tex]y= mx +b[/tex]

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.

[tex]y= 3x+4[/tex]

Is a linear function where

[tex]m=3\\ b=4[/tex]

b.

[tex]y=\frac{2}{x}[/tex]

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

c.

[tex]y=-5x[/tex]  

Is a linear function where

[tex]m=-5\\ b=0[/tex]

d.

[tex]y= 6x^{2} -7[/tex]

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