What is the distance between the points (5, −2) and (−9, −2)?
The distance between the points (5,-2) and (-9,-2) is 14 units.
We can use the distance formula:
d = √[(x2 - x1)^2 + (y2 - y1)^2]
where (x1, y1) = (5, -2) and (x2, y2) = (-9, -2)
d = √[(-9 - 5)^2 + (-2 - (-2))^2]
d = √[(-14)^2 + (0)^2]
d = √196
d = 14
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To find the distance between two points, we can use the distance formula. The formula is:
distance = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, our points are (5, -2) and (-9, -2). Let's plug in the values into the formula and calculate the distance.
distance = √((-9 - 5)^2 + (-2 - (-2))^2)
Simplifying further:
distance = √((-14)^2 + (0)^2)
Calculating the squares:
distance = √(196 + 0)
Simplifying further:
distance = √196
Calculating the square root:
distance ≈ 14.0
Therefore, the distance between the points (5, -2) and (-9, -2) is approximately 14.0 units.