What is the distance in units between the points (2, 4) and (-6, 4)?
The distance is 8 units.
To find the distance between two points in a Cartesian coordinate system, you can use the distance formula. The distance formula is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
In this case, the coordinates of the two points are (2, 4) and (-6, 4).
Plugging in the values into the formula, we get:
d = sqrt((-6 - 2)^2 + (4 - 4)^2)
Simplifying, we have:
d = sqrt((-8)^2 + 0^2)
d = sqrt(64 + 0)
d = sqrt(64)
d = 8
Therefore, the distance between the points (2, 4) and (-6, 4) is 8 units.