Answer:
y=1/2x+2
Explanation:
This equation is linear because the graph is a straight line. Therefore, use the slope-intercept form y=mx+b to create the equation.
To find m (the slope), pick two points like (0,2) and (2,3). Find the change in y over the change in x: (y2-y1)/(x2-x1).
y2=3, y1=2, x2=2, x1=0
(3-2)/(2-0)= 1/2
This is the slope which means the equation is one of the first 2 options.
Next find b (the y-intercept) by finding the y value on the graph when x=0. When x=0, y=2. Therefore, b=2 and the final equation is y=1/2x+2