Indicate the equation of the given line in standard form. show all of your work for full credit.

the line containing the median of the trapezoid whose vertices are r(-1, 5) , s(1, 8), t(7, -2), and u(2, 0).

The required equation is .

Step-by-step explanation:

The median of a trapezoid is a segment that joins the midpoints of the nonparallel sides.

It is given that the vertices of trapezoid are R(-1, 5) , S(1, 8), T(7, -2), and U(2, 0).

From the below figure it is clear that the side RS and TU are non parallel sides.

The midpoint of RS is

The midpoint of TU is

It means the line containing the median of the trapezoid is passes through the points

If a line passes through two points the equation of line is

Multiply both the sides by 6.

Add 10x on both the sides.

Add 39 on both the side.

Therefore the required equation is .