Is the function y=x+5 linear or nonlinear?

2 answers

linear
All linear functions can be written in the form y = mx + b, where m is the slope and b is the y-intercept (slope-intercept form). Alternatively, a linear function can be expressed in the form y – y0 = m(x – x0), where m is the slope and (x0, y0) is a point on the line (point-slope form).

This function, y = 5/x, is a hyperbola, with a vertical asymptote at x = 0 and horizontal asymptote at y = 0.