Question

Which point is closer to the x-axis (0.7, 21) or (0.77, 10)

Answer 1

a=10

b=20

Explanation:

Answer 2

As

• 
  `d_A=21`

• 
  `d_B=10`

Therefore, point B is closer to the x-axis.

Please check the attached graph.

Explanation:

We know that:

• x-coordinate of any point P(x, y) gives its distance of that point from the y-axis

• y-coordinate of any point P(x, y) gives its distance of that point from the x-axis

Given the points

• (0.7, 21)

• (0.77, 10)

Let us say

• A(0.7, 21)

• B(0.77, 10)

FOR POINT A(0, 7)

• As the y-coordinate of point A(0.7, 21) ⇒ y = 21

We know that the y-coordinate of any point P(x, y) gives its distance of that point from the x-axis

Thus, the distance of point A(0.7, 21) from the y-axis is 21 units.

i.e.

`d_A=21`

FOR POINT B(0.77, 10)

• As the y-coordinate of point A(0.77, 10) ⇒ y = 10

We know that the y-coordinate of any point P(x, y) gives its distance of that point from the x-axis

Thus, the distance of point B(0, 7) from the y-axis is 10 units.

i.e.

`d_B=10`

As

• 
  `d_A=21`

• 
  `d_B=10`

Therefore, point B is closer to the x-axis.

Please check the attached graph.