IXL - Find the distance between a point and a line (Geometry practice)

Line ℓ has equation

–

Find the distance between ℓ and the point

(

–

)

Round your answer to the nearest tenth.

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Learn with an example

question

Line ℓ has equation

–

Find the distance between ℓ and the point

(

)

Round your answer to the nearest tenth.

key idea

The distance between a point and a line is the length of the segment perpendicular to the line from the point.

solution

The line ℓ is a horizontal line with a

-intercept

–

The point

has an

-coordinate

of 5 and a

-coordinate

of 1.

Look for the point on ℓ that is directly below

This point is

(

–

)

The segment perpendicular to ℓ from

is the vertical segment between

and

which is

To find the distance between ℓ and

find the length of

The length is the absolute value of the difference in

-coordinates

and

which is

–

So, the distance between ℓ and

is 5.

Looking for more? Try these:

Lesson: Distance formula

Lesson: Equations of parallel and perpendicular lines

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Teacher tools

Work it out

Not feeling ready yet? These can help:

B.13Distance formula

E.2Graph a linear equation

E.5Equations of parallel and perpendicular lines

Lesson: Distance formula

Lesson: Equations of parallel and perpendicular lines

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