Answer:
Explanation:
First we need to find the point that the perpendicular line goes through on this line segment. The problem says it's a perpendicular bisector, which means it goes through the middle of the line, which means the point it goes through is halfway between (4, 4) and (-8, 8). This point would be (-2, 6).
Next, we need to find the slope of the perpendicular line. We know that if the slope of the line segment we're given is
, then the slope of the line perpendicular to this line segment is
.
The slope of the line segment can be found by the following:
This means that the slope of the perpendicular line is 3.
The equation of a line is
, were
is the slope and
is the Y-intercept.
We know the slope, we so we just need to determine the Y-intercept. To do so, we can plug in a point that we know the line goes through, (-2, 6), and solve for
:
Finally, the equation of the line is
