To find the x-intercept, we replace y for 0 and solve for x:
[tex]\begin{gathered} y=\frac{x-3}{x+4}\rightarrow0=\frac{x-3}{x+4}\rightarrow x-3=0 \\ \\ \Rightarrow x=3 \end{gathered}[/tex]Thereby, the x intercept is 3
To find the y-intercept, we replace x for 0 and solve for y:
[tex]\begin{gathered} y=\frac{x-3}{x+4}\rightarrow y=\frac{0-3}{0+4}\rightarrow y=-\frac{3}{4} \\ \\ \Rightarrow y=-0.75 \end{gathered}[/tex]Thereby, the y-intercept is -0.75
