IXL - Midpoint formula: find the endpoint (Algebra 1 practice)

JK has a midpoint at M(6, 5). Point K is at (4, 9). Find the coordinates of point J.

Write the coordinates as decimals or integers.

J = (, )

ref_doc_title.

Learn with an example

question

The midpoint M of GH has coordinates (6, 2). Point G has coordinates (8, 0). Find the coordinates of point H.

Write the coordinates as decimals or integers.

H = (, )

key idea

The midpoint formula is

x1 + x2

y1 + y2

where M is the midpoint of a line segment with endpoints at (x1, y1) and (x2, y2).

solution

Since you know the midpoint of the line segment, you can use the midpoint formula to find the missing endpoint. Plug in the midpoint M(6, 2) and plug in G(8, 0) for (x1, y1). Point H will be at (x2, y2).

x1 + x2

y1 + y2

Plug in (6, 2) and (8, 0)

(6, 2)

8 + x2

0 + y2

Plug in (6, 2) and (8, 0)

Take the first coordinate from each side of the equation.

(

)

8 + x2

0 + y2

Use those coordinates to solve for x2.

8 + x2

Multiply both sides by 2

8 + x2

Multiply both sides by 2

Subtract 8 from both sides

Now take the second coordinate from each side of the equation.

(

)

8 + x2

0 + y2

Use those coordinates to solve for y2.

Multiply both sides by 2

Since x2 = 4 and y2 = 4, the coordinates of point H are (4, 4).

Looking for more? Try these:

Lesson: Midpoint formula

$Confetti$

Excellent!

Now entering the Challenge Zone—are you ready?

Questions
answeredQuestions

Time
elapsedTime

hr	min	sec
00	00	06

SmartScore
out of 100
IXL's SmartScore is a dynamic measure of progress towards mastery, rather than a percentage grade. It tracks your skill level as you tackle progressively more difficult questions. Consistently answer questions correctly to reach excellence (90), or conquer the Challenge Zone to achieve mastery (100)! Learn more

Teacher tools

Work it out

Not feeling ready yet? These can help:

I.2Midpoint formula: find the midpoint

Lesson: Midpoint formula

Excellent! You got that right!

Jumping to level 1 of 1

Excellent!