Final answer:
The points (-3, 2) and (7, 2) do lie on a straight horizontal line, as they share the same y-coordinate. The slope of this line would be 0, indicating it's horizontal.
Step-by-step explanation:
The question asks whether the points (-3, 2) and (7, 2) lie on a straight horizontal line. To determine this, we can check the y-coordinates of both points. If they are the same, then the line is horizontal because there is no change in the vertical (y) position as the x position changes. In this case, the y-coordinate is 2 for both points, so the line connecting them would indeed be horizontal.
A horizontal line has a slope of 0 because it does not rise or fall as it moves along the x-axis. The formula for slope is (y2 - y1) / (x2 - x1). Applying the coordinates of (-3, 2) and (7, 2) to this formula, we get (2-2)/(7-(-3)) = 0/10 = 0. Therefore, the slope is 0, which confirms that the line is horizontal.