What is the distance between the points $(-18,7)$ and $(-6,7)$?

Question

05-11-2026
Mathematics

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What is the distance between the points $(-18,7)$ and $(-6,7)$?

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GinnyAnswer GinnyAnswer · Answer 1 · 2026-11-05T14:03:33-05:00

Analyze the coordinates of the two points: $A(-18, 7)$ and $B(-6, 7)$.
Recognize that the y-coordinates are equal, indicating the points lie on a horizontal line.
Use the distance formula for horizontal segments: $d = |x_2 - x_1|$.
Compute the distance: $| -6 - (-18) | = |12| = 12$.
The final answer is $\boxed{12}$.

Explanation

Analyze the given points

To find the distance between two points $A = (-18, 7)$ and $B = (-6, 7)$ in a 2D Cartesian plane, we first observe the coordinates of the points. The points are given as $(x_1, y_1) = (-18, 7)$ and $(x_2, y_2) = (-6, 7)$. Since both points have the same y-coordinate ($y=7$), they lie on a horizontal line.

Identify the distance formula

For two points $(x_1, y_1)$ and $(x_2, y_1)$ lying on a horizontal line, the distance $d$ between them is simply the absolute difference of their x-coordinates:
\[d = |x_2 - x_1|\]

Calculate the distance

Substituting the given values $x_1 = -18$ and $x_2 = -6$ into the formula:
\[d = |-6 - (-18)|\]
\[d = |-6 + 18|\]
\[d = |12|\]
\[d = 12\]
The distance between the points $(-18, 7)$ and $(-6, 7)$ is 12 units.

Final answer

The distance between the points $(-18, 7)$ and $(-6, 7)$ is $\boxed{12}$ units.

Examples

Imagine you are looking at a floor plan of a room. A table is placed along a wall, with one end at a coordinate of $x = -18$ feet and the other at $x = -6$ feet, both against a wall at $y = 7$. To determine the length of the table, you calculate the distance between these two points using the horizontal distance formula, which shows the table is 12 feet long. This simple calculation helps in interior design to ensure furniture fits correctly in a space.