Question

School is approximately halfway between the Library and the Grocery Store. On a coordinate grid, the Library is location at (4, 12) and

the Grocery Store is at (-7, 2). What is the location of the school on the coordinate grid?
(-5.5,5)
(-1.5,7)
(8,-2.5)
(4.-4.5)

Answer 1

(-1.5,7)

Explanation:

We can find the answer in one of three ways:

1. Graph

Graph attached. Find the slope and intercept of the line connecting the grocery and library and graph it. The add a line for x = -1.5, since that is midway between 4 and -7 on the x axis. The intersection is the midway point.

2. Mathematical

Find the equation for a line connecting the library and grocery:

y = (11/10)x + 8.4

The midway point for x is -1.5

y = (11/10)(-1.5) + 8.4

y = -1.4 + 8.4

y = 7

3. Logic

The midway point on the x axis is calculated by (4-7)/2 or -3/2. The answer options only have one that has a -1.5 x coordinate: (-1.5,7)