Answer: See the graph attached.
Step-by-step explanation:
The Slope-intercept form of the equation of the line is:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
Where "m" is the slope and "b" is the intersection of the line with the y-axis.
Given the equation
, you can identify that:
![m=\frac{1}{2}\\\\b=3](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B1%7D%7B2%7D%5C%5C%5C%5Cb%3D3)
The line intercepts the y-axis when
, therefore, you can know that the line passes through the point:
(0,3) → Point of intersection with the y-axis.
Now, substitute
and solve for "x" to find the point of intersection with the x-axis:
![0=\frac{1}{2}x+3\\\\-3=\frac{1}{2}x\\\\(-3)(2)=x\\\\x=-6](https://tex.z-dn.net/?f=0%3D%5Cfrac%7B1%7D%7B2%7Dx%2B3%5C%5C%5C%5C-3%3D%5Cfrac%7B1%7D%7B2%7Dx%5C%5C%5C%5C%28-3%29%282%29%3Dx%5C%5C%5C%5Cx%3D-6)
Now, you know that the line also passes through the point:
(-6,0) → Point of intersection with the x-axis.
Draw the a line that passes through these points.
Therefore, you get the graph attached.