Answer :
Step 1
Given;
[tex]y=2x+1[/tex]Required; find the x-intercept and y-intercept.
The x-intercept is found when we set y=0
[tex]\begin{gathered} y=2x+1 \\ 0=2x+1 \\ x=-\frac{1}{2} \end{gathered}[/tex]Step 2
The y-intercept is found when we set x=0
[tex]\begin{gathered} y=2x+1 \\ y=2(0)+1 \\ y=1 \end{gathered}[/tex]The answer in the (x,y) coordinate will be;
[tex]\begin{gathered} x-intercept:(-\frac{1}{2},0) \\ \mathrm{Y\:Intercepts}:\:\left(0,\:1\right) \end{gathered}[/tex]