Question

A is a point on the y-axis whose ordinate is 5 and B is the point (-3,1). Calculate the length of AB.

Answer 1

Answer:

5 units

Step-by-step explanation:

Given : A is a point on the y-axis whose ordinate is 5 and B is the point (-3,1).

To Find:  Calculate the length of AB.

Solution:

Since A is a point on the y-axis whose ordinate is 5.

Since A lies on y axis So, x -coordinate of Point A is 0.

Y -coordinate =  ordinate = 5.

So, Point A = $(x_1,y_1)=(0,5)$

Point B =  $(x_2,y_2)=(-3,1)$

So, to find the distance between Point A and point B we will use distance formula :

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

Substitute the given values .

$d=\sqrt{(-3-0)^2+(1-5)^2}$

$d=\sqrt{(-3)^2+(-4)^2}$

$d=\sqrt{9+16}$

$d=\sqrt{25}$

$d=5$

Hence the length of AB is 5 units

Answer 2

Answer:

Step-by-step explanation: