Final answer:
The equations of the horizontal and vertical lines passing through the point (-6, 2) are y = 2 and x = -6, respectively. Therefore, the equation for the horizontal line is y = 2.
Step-by-step explanation:
The question is about finding the equations for horizontal and vertical lines passing through the point (-6, 2). To write these equations, you need to understand that a horizontal line has a constant 'y' value and a vertical line has a constant 'x' value throughout their lengths. For the horizontal line, since it passes through the point (-6, 2), the 'y' value (which remains the same along the entire length of a horizontal line) is 2. Therefore, the equation for the horizontal line is y = 2.
To find the equation of a horizontal line passing through the point (-6, 2), we know that the slope of a horizontal line is always 0. Therefore, the equation of the horizontal line will be in the form y = b, where b is the y-coordinate of the point. So the equation of the horizontal line passing through (-6, 2) is y = 2. For the vertical line, it passes through the point (-6, 2), so the 'x' value remains constant at -6 for the entire length of the line. Hence, the equation for the vertical line is x = -6.