Chapter 9, Problem 66SGR

To determine

To find: given equation is linear equation or non linear equation.

Answer to Problem 66SGR

Given equation is non-linear equation

Explanation of Solution

Given:

  $y=\frac{5}{x}+1$

Calculation:

Given equation is $y=\frac{5}{x}+1$ .

When comparing with $y=mx+b$

$m=\frac{5}{x}$ , $b=1$

Slope $=\frac{5}{x}$

$y$ - intercept $=0$

$x$ -intercept $=\left(-5,0\right)$

From the above values graph is,

So graph illustrate curve which means given equation is non-linear equation.

Conclusion:

Hence, given equation is non-linear equation.