Answer: 13
Step-by-step explanation:
The formula for finding distance between two points is given by :
D = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
[tex]x_{1}[/tex] = -4
[tex]x_{2}[/tex] = 1
[tex]y_{1}[/tex] = 9
[tex]y_{2}[/tex] = -3
Substituting the values into the formula , we have :
D = [tex]\sqrt{(1 -(-4))^{2} +(-3-9)^{2}}[/tex]
D = [tex]\sqrt{(5)^{2}+(-12)^{2}}[/tex]
D = [tex]\sqrt{25+144}[/tex]
D = [tex]\sqrt{169}[/tex]
D = 13
Therefore : the distance between the points is 13
