Find the equation of the altitude through B in Triangle ABC.

Step 1: Calculate the slope of the line perpendicular to the altitude
NOTE: m = \frac{y_2 - y_1}{x_2 - x_1}
EXAMPLE: Line AC is perpendicular to the altitude
A(1, 2), C(4, 11)
m = \frac{11 - 2}{4 - 1} = 3
Step 2: Find the slope of the altitude
NOTE: Perpendicular gradients are connected by
EXAMPLE: Altitude slop m(3) = -1
m = \frac{-1}{3}
Step 3: Calculate the equation of the line containing the altitude from the vertex and the slope.
NOTE: y - y_1 = m(x - x_1)
EXAMPLE: vertex (6, 3) and slope m = \frac{-1}{3}
y - 3 = \frac{-1}{3} (x - 6)
Step 4:Substitute the known values in the line equation and simplify
EXAMPLE: 3(y - 3) = -1(x - 6)
3y + x = 6 + 9
3y + x = 15
Step 5: Do this for the other two medians as well.