The function given is:
[tex]y-1=5x[/tex]We can re-arrange it in the form:
[tex]y=5x+1[/tex]This takes the form:
[tex]y=mx+b[/tex]This is the equation of a line in the slope-intercept form where m is the slope of the line and b is the y-intercept of the line (y-axis cutting point). This is a linear function.