Explanation
Let the given points be:
P(-3, -14) = (x1 , y1)
Q(t, -5) = (x2, y2)
PQ = 9 units (given)
Using the distance formula,
d = √ [ (x2 − x1 )2 + (y2 − y1)2]
PQ = √ [ (t − (−3))2 + (−5 + 14)2]
⟹ √ [ ( t + 3)2 + 81] = 9
Squaring on both sides,
⇒ (t + 3)2 + 81 = 81
⇒ (t + 3)2 = 0
⇒ t + 3 = 0
∴ t = -3
Let the given points be:
P(-3, -14) = (x1 , y1)
Q(t, -5) = (x2, y2)
PQ = 9 units (given)
Using the distance formula,
d = √ [ (x2 − x1 )2 + (y2 − y1)2]
PQ = √ [ (t − (−3))2 + (−5 + 14)2]
⟹ √ [ ( t + 3)2 + 81] = 9
Squaring on both sides,
⇒ (t + 3)2 + 81 = 81
⇒ (t + 3)2 = 0
⇒ t + 3 = 0
∴ t = -3
