Final answer:
To find an equation of the line parallel to y = -3 and passing through the midpoint of the segment Joining (-8,6) and (-4,8), we first need to find the midpoint of the segment and then use the point-slope form of a line. After calculation the equation comes to y = -3x - 11.
Step-by-step explanation:
To find an equation of the line parallel to the line y = -3 and passing through the midpoint of the segment joining (-8,6) and (-4,8), we first need to find the midpoint of the segment. The midpoint formula is given by:
Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
Midpoint = ((-8 + -4) / 2, (6 + 8) / 2)
Midpoint = (-6, 7)
Since the line we want is parallel to y = -3, it also has a slope of -3. Using the point-slope form of a line, the equation of the line parallel to y = -3 and passing through (-6, 7) is:
y - 7 = -3(x + 6)
y - 7 = -3x - 18
y = -3x - 11