Answer:
y = (1/2)x + 2
Explanation:
See attachment.
Look for an equation of the form y=mx + b, where m is the slope and b the y-intercept (the value of y when x = 0).
Since this is a straight line, slope can be calculated using any two points. I chose (2,3) and (8,6). The slope is the Rise/Run, the change in y over the change in x for the same interval.
Rise = (6-3) = 3
Run = (8-2) = 6
Rise/Run, or slope, m = 3/6, or 1/2
The equation becomes y = (1/2)x + b
Find b by entering any of the given points and solve for b. I'll use (2,3):
y = (1/2)x + b
3 = (1/2)(2) + b
b = 2
The equation becomes y = (1/2)x + 2
See the attached graph.