Question

If Marie also lives equidistant from the two schools, determine the equation of the line that would represent all of the possible locations of her home.

Answer 1

Answer:

$(x - 5) = m(y - 5.5)$

Step-by-step explanation:

The co-ordinates of the midpoint of the line PS, J are

J(x, y)=J(5, 5.5)

Hence, our equation of the line should have y=5.5 for x=5.

Equation of a straght line :

(x-x¹)=m(y-y¹) where x¹ and y¹ are the co-ordinates of point J

Hence x¹=5 and y¹=5.5.

Hence equation is :

$(x - 5) = m(y - 5.5)$

Here m is the slope. As we change m, the line will rotate about the point J.