The Slope-Intercept form of the Equation of the line is:
[tex]y=mx+b[/tex]Where "m" is the slope and "b" is the y-intercept.
For the equation:
[tex]y=-\frac{1}{2}x+3[/tex]You can identify that the y-intercept is:
[tex]b=3[/tex]Since the line cuts the y-axis when "x" is zero, you have this point:
[tex](0,3)[/tex]Since the line cuts the x-axis when "y" is zero, you can substitute this value into the equation and solve for "x":
[tex]\begin{gathered} 0=-\frac{1}{2}x+3 \\ -3=-\frac{1}{2}x \\ (-3)(-2)=x \\ x=6 \end{gathered}[/tex]Now you have this point:
[tex](6,0)[/tex]Plot both points on the Coordinate plane and graph the line. See the picture attached:
