Question

1. the distance between (2,5) and (2, - 1) is: a) 3 b) 4 c) 5 d) 6

Explanation:

Step1: Identify the distance formula

For two points $(x_1,y_1)$ and $(x_2,y_2)$, the distance $d$ is given by $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here $x_1 = 2,y_1 = 5,x_2 = 2,y_2=-1$.

Step2: Substitute the values

Since $x_1=x_2 = 2$, the formula simplifies to $d=\vert y_2 - y_1\vert$. Substitute $y_1 = 5$ and $y_2=-1$ into it, we get $d=\vert-1 - 5\vert$.

Step3: Calculate the result

$\vert-1 - 5\vert=\vert-6\vert = 6$.

Answer:

D. 6