By the distance formula,
[tex]d = \sqrt{( x_2 - x_1) {}^{2} + (y_2 - y_1 {)}^{2} }[/tex]
Here,
[tex]x_1 = -4[/tex]
[tex]y_1 = 6[/tex]
[tex]x_2 = -7[/tex]
[tex]y_2 = 3[/tex]
Hence,
[tex]d = \sqrt{( {(-7 )+(- 4))}^{2} + {( 3 + 6)}^{2} } [/tex]
[tex]d = \sqrt{ {(-11)}^{2} + {9}^{2} } [/tex]
[tex]d = \sqrt{121+ 81} [/tex]
[tex]d = \sqrt{202} [/tex]
