The distance between the graph of the equations x = 4 and x = -2 is
Answers
Answer:
6 units
Step-by-step explanation:
Given : x = 4 and x = -2
To Find : distance between the graph of the equations x = 4 and x = -2
Solution:
x = -2 any point on line x = - 2 can be represented as
( - 2 , y₁)
Distance of point (x₁ , y₁ ) from line Ax + By + C = 0 is given by :
| (Ax₁ + By₁ + C) / (√(A² + B²)
x = 4 can be written as 1.x + 0.y - 4 = 0
A = 1 , B = 0 , C = - 4
(x₁ , y₁ ) = ( - 2 , y₁)
Distance = | (1(-2) + 0(y₁) + (-4)) / (√(1² + 0²)
= | (-2 + 0 - 4) / 1 |
= | - 6 |
= 6
Hence distance between the graph of the equations x = 4 and x = -2 is 6 units
Same can be done by taking a point on x = 4
as ( 4 , y₁) and finding distance from x = - 2
Distance = | (1(4) + 0(y₁) +2) / (√(1² + 0²)
= | (4 + 0 +2) / 1 |
= 6 units
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