A line contains the points R (-1, 8) S (1, 4) and T (6, y). Solve for y. Be sure to show and explain all work.

Given:

A line contains the points R(-1, 8), S(1, 4) and T(6, y).

To find:

The value of y.

Solution:

Three points are collinear if:

A line contains the points R(-1, 8), S(1, 4) and T(6, y). It means, these points are collinear.

Subtract 12 from both sides.

Divide both sides by 2.

Therefore, the value of y is -6.

Every ordered pair listed is of the form (x,y). The first value is the x coordinate. The second value is the y coordinate.

The range is the set of y coordinates of the relation. In this case the y values are: 3, 4, 5, -2

Therefore the range is {3, 4, 5, -2}

Optionally you can sort the values from smallest to largest to get {-2, 3, 4, 5}