Answer:
The graph in the attached figure
Step-by-step explanation:
we know that
The equation of the line in slope intercept form is equal to
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
where
m is the slope
b is the y-intercept
In this problem we have
![m=0.5\\b=2](https://tex.z-dn.net/?f=m%3D0.5%5C%5Cb%3D2)
substitute
![y=0.5x+2](https://tex.z-dn.net/?f=y%3D0.5x%2B2)
The easiest way to graph a line is with a pair of points.
Find the intercepts
The y-intercept is given ----> point (0,2)
The x-intercept is the value of x when the value of y is equal to zero
For y=0
![0=0.5x+2](https://tex.z-dn.net/?f=0%3D0.5x%2B2)
![x=-4](https://tex.z-dn.net/?f=x%3D-4)
so
The x-intercept is the point (-4,0)
Plot the intercepts and join the points to graph the line
using a graphing tool
The graph in the attached figure