Respuesta :

Solution:

The equation of a line in slope-intercept form is expressed as

[tex]\begin{gathered} y=mx+b \\ where \\ m\Rightarrow slope\text{ of the line} \\ b\Rightarrow y-intercept\text{ of the line} \end{gathered}[/tex]

Given that

[tex]\begin{gathered} m=\frac{1}{2} \\ b=0 \end{gathered}[/tex]

By substituting these values into the above equation, we have

[tex]y=\frac{1}{2}x+0[/tex]

Hence, the equation of the line is

[tex]y=\frac{1}{2}x[/tex]