Final answer:
To find the slope of the line that passes through (-3,6) and (-9,4), we use the slope formula and calculate (y2 - y1)/(x2 - x1), which gives us a slope of 1/3.
Step-by-step explanation:
The question asks for the slope of the line that passes through two given points, (-3,6) and (-9,4). To find the slope, we apply the slope formula, which is (change in y)/(change in x), often written as (y2 - y1)/(x2 - x1). In this case, using the points (-3,6) as (x1,y1) and (-9,4) as (x2,y2), we get:
1. Change in y: y2 - y1 = 4 - 6 = -2
2. Change in x: x2 - x1 = -9 - (-3) = -9 + 3 = -6
3. Slope: (-2)/(-6) = 1/3
Therefore, the slope of the line is 1/3. This means that for every three units we move horizontally (either to the left or right), the vertical position changes by one unit (either up or down), maintaining the directionality provided by the points given.