QUESTION 1
We want to find the length of the segment joining the points at (-1,6) and (-5,3).
We use the distance formula which is given by the formula,
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]d=\sqrt{( - 5 - - 1)^2+(3 - 6))^2}[/tex]
[tex]d=\sqrt{( - 5 + 1)^2+(3 - 6)^2}[/tex]
[tex]d=\sqrt{( - 4)^2+( - 3)^2}[/tex]
[tex]d=\sqrt{16+9}[/tex]
[tex]d=\sqrt{25}[/tex]
[tex]d = 5 \: units[/tex]
QUESTION 2
We want to find the length of the segment joining at (-4,1) and (3,7).
We use the distance formula to get,
[tex]d = \sqrt{(3 - - 4)^{2} + {(7 - 1)}^{2} } [/tex]
[tex]d = \sqrt{(3 + 4)^{2} + {(7 - 1)}^{2} } [/tex]
[tex]d = \sqrt{7^{2} + {6}^{2} } [/tex]
[tex]d = \sqrt{49+ 36 } .[/tex]
[tex]d = \sqrt{85 } \: units[/tex]
