Question

Distance between these points
X (-3, -4 ) Y (5, 5)

Answer 1

12.0

Explanation:

• The distance betwen the two points is the slope/gradient of that line.
• Slope/gradient = c (pythagoras theorem) :
  `c^(2) = a^(2) + b^(2)`
• x = a, y = b
• x = 5 - (-4) = 5 + 4 = 9
• y = 5 - (-3) = 5 + 3 = 8

`c^(2) = 8^(2) + 9^(2)`

= 64 + 81

= 145

`\sqrt{c^(2) } = √(145)`

Therefore,

c = 12.0 (3 s.f.)