Question

Given Trinagle ABC with A(-4, -2), B(4,4), and C(18,-8), answer the following questions.

1. Write the equation of the line containing the altitude that passes through B in standard form.
2. Write the equation of the line containing the median that passes through point C in slope-intercept form.
3. Write an equation for the line containing a perpendicular bisector of AC in point-slope form

Answer 1

For the answer to the question above, the slope of segment AC is (-6/22) = -3/11.

The slopes of perpendicular lines are negative reciprocals, so
you know that the slope of the perpendicular bisector will be 11/3.

The midpoint of segment AC is (7, -5).

Now you have the slope of the perpendicular bisector, and a
point on it. You should be able to complete the equation now.

Notice how sneaky this question is. You don't need to know
point-B at all, and you don't even need to know that there's
any triangle. All you need to know is points A and C.