It is required to find the slope of the line given by the equation:
[tex]y=\frac{1}{4}x+1[/tex]
Notice that the equation of the line is given in the Slope-Intercept Form:
[tex]y=mx+b[/tex]
Where m is the slope of the line and b is the y-intercept.
Compare the equations.
This implies that m=1/4.
Hence, the slope of the given line is 1/4.
The answer is 1/4.
