Question

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

$\mathrm{Y}=\mathrm{x}+5$

Answer 1

We know, a linear function is a function whose graph is a straight line.

Given: $\mathrm{y}=\mathrm{x}+5$

$\mathrm{y}=\mathrm{x}+5$ is slope intercept form $(\mathrm{y}=\mathrm{mx}+\mathrm{b})$

The function has a constant rate of change. So, the function is linear.

Hence, the equation $\mathrm{y}=\mathrm{x}+5$ represent a linear function.