Question

Points A, B, and C are colinear.IABWhat is the slope of BC in simplest form?Enter a + or - sign. [?]

Answer 1

$m=-\frac{1}{3}$

1) Considering the slope as the rise/run. Let's enumerate that grid

Enumerating the grid, we can state that A( 2,5), B(5,4), and C(11,2)

2) So now, let's find the slope of BC

$m_{BC}=\frac{2-4}{11-5}=-\frac{2}{6}=-\frac{1}{3}$

Since those points are colinear, the slope of BC = slope of AB for the slope is a measure of how steep is the line.