Calculating Distance Between Two Points on a Coordinate Plane
To find the distance between two points on a coordinate plane, you can use the distance formula, which is derived from the Pythagorean theorem. The distance formula is:
\( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \)
The two points you have are (2, -7) and (8, -7). Plugging these into the formula gives:
\( x_1 = 2, y_1 = -7 \)
\( x_2 = 8, y_2 = -7 \)
Now compute the distance:
\( d = \sqrt{(8 - 2)^2 + (-7 - (-7))^2} \)
\( d = \sqrt{(6)^2 + (0)^2} \)
\( d = \sqrt{36 + 0} \)
\( d = \sqrt{36} \)
\( d = 6 \)
So the distance between the points (2, -7) and (8, -7) is 6 units.
