Question

how could you calculate the distance between points r and s?

Explanation:

Step1: Determine the coordinates of points

The coordinates of point \( R \) are \( (-4,-1) \), and the coordinates of point \( S \) are \( (1,6) \).

Step2: Use the distance formula

The distance formula between two points \( (x_1,y_1) \) and \( (x_2,y_2) \) is \( d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2} \).
Substitute \( x_1=-4,y_1 = - 1,x_2=1,y_2=6 \) into the formula:

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Answer:

The distance between points \( R \) and \( S \) is \( \sqrt{74} \)