Question

find the value of 'm' if the distance between the points a(-3 -4) and b(m -5) is 9 units

Answer 1

Use the Distance Formula,

d=√(x₂ - x1)² + (y₂ - y₁)²

⇒9=√(m - (-3))²+(-5 - (-4))

⇒9²=(m+3)² + (-1)

⇒(m+3)²=81 + 1

⇒m=⁺-√82 - 3

I guess this is the answer!!