How do you determine the length of a line segment whose endpoints are (6,4) and (-9,-4)#?

1 Answer
smendyka
Jan 5, 2017

Use the formula for distance between two points: d = sqrt((color(red)(x_2) - color(blue)(x_1))^2 + (color(red)(y_2) - color(blue)(y_1))^2)d=√(x2−x1)2+(y2−y1)2

Explanation:

Use the formula for distance between two points:

d = sqrt((color(red)(x_2) - color(blue)(x_1))^2 + (color(red)(y_2) - color(blue)(y_1))^2)d=√(x2−x1)2+(y2−y1)2

Substituting the points given in the problem yields:

d = sqrt((color(red)(-9) - color(blue)(6))^2 + (color(red)(-4) - color(blue)(4))^2)d=√(−9−6)2+(−4−4)2

d = sqrt(-15^2 + -8^2)d=√−152+−82

d = sqrt(225 + 64)d=√225+64

d = sqrt(289)d=√289

d = 17

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