Respuesta :

The formula for determining slope is expressed as

slope = (y2 - y1)/(x2 - x1)

where

y1 and y2 are the y coordinates of initial and final points on the line

x1 and x2 are the x coordinates of initial and final points on the line

From the graph,

when x1 = - 4, y1 = 0

when x2 = 2, y2 = 4

slope = (4 - 0)/(2 - - 4) = 4/(2 + 4) = 4/6

Simplifying 4/6 to its lowest term

slope = 2/3