Answer:
A (5)
Step-by-step explanation:
- The distance is the slope/gradient
- In the pythogaras theorem [tex]c^{2} = a^{2} + b^{2}[/tex],
c represents the slope and a and b represent the two shorter sides of the right angled triangle ( x,y)
- x = -9 - (-5 ) = -9 +5 = -4
- y = -2 - (-5) = -2 +5 = 3
[tex]c^{2}[/tex] = [tex]-4^{2} + 3^{2}[/tex]
= 16 + 9
= 25,
therefore [tex]\sqrt{c^{2} }[/tex] = [tex]\sqrt{25}[/tex]
c = 5
