Question

the coordinate grid shows the street layout of a town, where 1 unit equals 1 block. elvis starts at the bookstore at point b and walks 3 blocks west, 7 blocks north, then 1 block west to his apartment. plot point a to show the location of elviss apartment. label the coordinates.

Explanation:

Identify the starting coordinates

Using the Coordinate Geometry knowledge point

$$ B = (1, -4) $$

Apply the first movement

Using the Coordinate Geometry knowledge point

$$ (1 - 3, -4) = (-2, -4) $$

Apply the second movement

Using the Coordinate Geometry knowledge point

$$ (-2, -4 + 7) = (-2, 3) $$

Apply the final movement to find point A

Using the Coordinate Geometry knowledge point

$$ A = (-2 - 1, 3) = (-3, 3) $$

Answer:

The coordinates of Elvis's apartment, point A, are \((-3, 3)\).