Distance on a coordinate plane

Y

X

Graph the ordered pairs

(2,0) and (6,-6)

Determine the distance

between the two points using the

Pythagorean theorem

Round your answer to the nearest tenth.

6

b

a4

c

a2 + b2 = c2

42 + 62 = c2

16 + 36 = c2

52 = c2

√52 = 7.2

Y

X

Graph the ordered pairs

(3,1) and (10,-2)

Determine the distance

between the two points using the

Pythagorean theorem

Round your answer to the nearest tenth.

7 b

a3

a2 + b2 = c2

32 + 72 = c2

9 + 49 = c2

58 = c2

√58 = 7.6c

Distance formula

d = √ (x2 – x1)2 + (y2 – y1)2

d = √ (3 – 2.5)2 + (4.5 – 3.5)2

d = √ (x2 – x1)2 + (y2 – y1)2

Find the distance between the points (2.5, 3.5) and (3, 4.5)

x1, y1 x2, y2

d = √ (0.5)2 + (1)2

d = √ 0.25 + 1

d = √ 1.25 d = 1.12

d = √ (-2.5 – 2.5)2 + (-1.5 – 3)2

d = √ (x2 – x1)2 + (y2 – y1)2

Find the distance between the points (2.5, 3) and (-2.5, -1.5)

x1, y1 x2, y2

d = √ (-5)2 + (-4.5)2

d = √ 25 + 20.25

d = √ 45.25 d = 6.73

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