Question

find the distance, d, of ab. a = (-3, 1) b = (-1, -1) d = ? d = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}} round to the nearest tenth.

Explanation:

Step1: Identify the coordinates

Let \(A(x_1,y_1)=(-3,1)\) and \(B(x_2,y_2)=(-1,-1)\).

Step2: Substitute into the distance formula

Substitute \(x_1=-3,y_1 = 1,x_2=-1,y_2=-1\) into \(d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\).

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Answer:

$2.8$