The vector v=(7,1) lies entirely in quadrant 1. Give possible coordinates for the initial point and terminal point of the vector. Show your work and explain your reasoning

A possible initial point is (1,4) and a possible terminal point is (8,5)

Step-by-step explanation:

The given vector is .

We can rewrite this vector as:

The x-components is 7 and the y-component is 1.

We can choose initial point (a,b) and terminal point (c,d) in the first quadrant such that  and

If a=1, and b= 4, then:

 and

This implies that:

 and

Therefore a possible initial point is (1,4) and a possible terminal point is (8,5)

the line of