Calculate the distance between points (-1,7) and (-2,3)?

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mfonda's profile pic

Matthew Fonda | eNotes Employee

Posted on

To solve this problem you can use the distance formula. The distance between two points is given as:

`d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}`

Plugging in the points (-1, 7) and (-2, 3), we see that

`d = \sqrt{(-2 - -1)^2 + (3 - 7)^2} = \sqrt{17} \approx 4.12`




shaznl1's profile pic

shaznl1 | High School Teacher | (Level 1) Salutatorian

Posted on

Recalling the distance formula derivatived from the Pythagorean theorem,

d= sqrt((x1-x2)^2+(y1-y2)^2)

between two points (x1,y1),(x2,y2)

in this case, x1= -1 x2=-2 y1=7 y2=3    (You can change x1 and x2 around and y1 y2 around since squares cancel the negatives)


= sqrt(1+4^2)

= sqrt 17

The distance of the given two points is  sqrt 17 units of length, or in decimal form, 4.12 units away from each other.

In this case, we omit the negative value since distance could NOT be negative.

giorgiana1976's profile pic

giorgiana1976 | College Teacher | (Level 3) Valedictorian

Posted on

We'll recall the formula that gives the distance between two points:

AB = sqrt[(xB-xA)^2 + (yB-yA)^2]

Let A(-1,7) and B(-2,3)

AB = sqrt[(-2+1)^2 + (3-7)^2]

AB = sqrt(1 + 16)

AB  =sqrt17

The requested distance between the given points is of sqrt17 units of length.

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