Determine the distance between the points (−1, −4) and (−9, −8).
a) square root of 208 units
b) square root of 166 units
c) square root of 124 units
d) square root of 80 units
To find the distance between two points (x1, y1) and (x2, y2), we use the formula:
Distance =sqrt((x2 - x1)^2 + (y2 - y1)^2)
Using this formula, we can calculate the distance between (-1, -4) and (-9, -8):
Distance= sqrt((-9 - (-1))^2 + (-8 - (-4))^2)
Distance= sqrt((-9 + 1)^2 + (-8 + 4)^2)
Distance= sqrt((-8)^2 + (-4)^2)
Distance= sqrt(64 + 16)
Distance= sqrt(80)
Therefore, the answer is:
d) square root of 80 units