Line l contains points (2,4). Point P has coordinates (1,1). Find the distance from P to l

Mathematics · High School · Sun Jan 24 2021

Answered on

Given the points:

( 2, 4 )

( 1, 1 )

x1 = 2

x2 = 1

y1 = 4

y2 = 1

Determine the distance between two points.

Formula for the distance between two points:

d=√((x2- x1)²+( y2- y1)²)

Solution:

In order to determine the distance between two points, we simply need to substitute the given values of x1, x2, y1 and y2 to the formula.

d=√((x2- x1)²+( y2- y1)²)

d=√((2 - 1)²+( 1 - 4)²)

d=√((1)²+(-3)²)

d=√(1 + 9)

d=√10

d = 3.16 units

Final answer:

The distance between two points is 3.16 units.