The tail of a vector is at (2, 4). The head of the same vector is at (5, 2). What is the algebraic description of this vector? [Sketch the problem if you need help visualizing it.]

Step-by-step explanation:

Given that:

The vector is the straight line, so to form the algebraic description of this vector we need to find out the slope of it:

Slope: = =

We have the standard form of the linear is:

y = mx +b

In this situation, y = x + b (1)

Because the line go through the point: (2, 4) so we substitute them into the equation (1):  4 = (2) + b <=> b =

So  the algebraic description of this vector is:  y = x +