Determine the distance between the points (−4, −7) and (−8, −13).
a) square root of 10 units
b) square root of 82 units
c) square root of 544 units
d) square root of 52 units
To find the distance between two points, we can use the distance formula:
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
In this case, the points are (-4, -7) and (-8, -13). Plugging these values into the formula:
Distance = sqrt((-8 - (-4))^2 + (-13 - (-7))^2)
= sqrt((-8 + 4)^2 + (-13 + 7)^2)
= sqrt((-4)^2 + (-6)^2)
= sqrt(16 + 36)
= sqrt(52)
Therefore, the distance between the points (-4, -7) and (-8, -13) is the square root of 52 units.
The correct option is (d) square root of 52 units.