A(-3, 5), B(7, 9) and C(2, 11) are the vertices of a triangle - Scottish Highers Maths - Question 7 - 2017

Next, we need to determine the slope of the line connecting points C(2, 11) and M(2, 7).

The slope formula is given by:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Substituting C(2, 11) as (x_1, y_1) and M(2, 7) as (x_2, y_2):

• Coordinates of C are (2, 11): (x_1, y_1)
• Coordinates of M are (2, 7): (x_2, y_2)

This gives:

$m = \frac{7 - 11}{2 - 2} = \frac{-4}{0}$

Since division by zero leads to an undefined slope, this indicates that the line CM is vertical.

For a vertical line, the equation is given by the x-coordinate of any point on the line. Since the median passes through C(2, 11), the equation of the median is:

$x = 2$