Answer:
[tex]\begin{gathered} x-intercept:\text{ \lparen-6,0\rparen} \\ y-intercept:\text{ \lparen0,3\rparen} \end{gathered}[/tex]
Step-by-step explanation:
A linear equation is represented by the following equation:
[tex]\begin{gathered} y=mx+b \\ where, \\ m=\text{ slope} \\ b=\text{ y-intercept} \end{gathered}[/tex]
Therefore, if we re-organize the equation using the slope-intercept form, we can identify ''b'':
[tex]y=\frac{x}{2}+3[/tex]
Therefore, the y-intercept of the function is (0,3).
Now, for the x-intercept, substitute y=0.
[tex]\begin{gathered} 0=\frac{x}{2}+3 \\ \frac{x}{2}=-3 \\ x=-6 \\ \text{ Then,} \\ x-intercept=\text{ \lparen-6,0\rparen} \end{gathered}[/tex]
