Question

for the points (1, 1) and (1, 4), what is the distance?
a. 5
b. 3
c. 9
d. 7

Explanation:

Step1: Identify coordinates

Points: $(x_1,y_1)=(1,1)$, $(x_2,y_2)=(1,4)$

Step2: Apply distance formula

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step3: Calculate differences

$x_2-x_1=0$, $y_2-y_1=3$

Step4: Compute distance

$d=\sqrt{0^2+3^2}=\sqrt{9}=3$

Answer:

b. 3