Final answer:
The line that goes through the points (-3, 2) and (8, 2) is a horizontal line at y = 2, and the equation for this line is y = 2.
Step-by-step explanation:
The question concerns a line that goes through the points (-3, 2) and (8, 2).
Since both points have the same y-coordinate, it indicates that this is a horizontal line at y = 2. This suggests that the slope of the line is 0, as there is no change in the y-value as x changes.
To visualize this, consider a plot with the points (-3,2) and (8, 2) connected by a straight line.
Any horizontal line on a Cartesian plane has an equation in the simple form y = k, where k is the constant y-value the line passes through.
Therefore, the equation of the line through the points (-3, 2) and (8, 2) is y = 2.