Question

11.find the distance between each pair of points. (-4, 6) and (3, -7)

Explanation:

Step1: Identify coordinates

$(x_1,y_1)=(-4,6)$, $(x_2,y_2)=(3,-7)$

Step2: Compute x difference

$x_2 - x_1 = 3 - (-4) = 7$

Step3: Compute y difference

$y_2 - y_1 = -7 - 6 = -13$

Step4: Square differences

$7^2=49$, $(-13)^2=169$

Step5: Sum and square root

$\sqrt{49 + 169} = \sqrt{218}$

Answer:

$\sqrt{218}$