Final answer:
The slope of the line passing through the points (-2,0) and (-17,-5) is calculated using the slope formula, resulting in a slope of 1/3.
Step-by-step explanation:
To find the slope of the line that contains the points (-2,0) and (-17,-5), we can use the slope formula which is the difference in the y-coordinates divided by the difference in the x-coordinates. This is often written as (y2 - y1) / (x2 - x1).
For the given points (-2,0) and (-17,-5), we label (-2,0) as (x1,y1) and (-17,-5) as (x2,y2). Then we substitute into the formula:
slope = (y2 - y1) / (x2 - x1) = (-5 - 0) / (-17 - (-2)) = (-5) / (-15) = 1/3
To find the slope of a line passing through two points, we can use the formula: slope = (y2 - y1) / (x2 - x1). For the given points (-2,0) and (-17,-5), we can substitute the values into the formula: slope = (-5 - 0) / (-17 - (-2)). Simplifying this gives the slope as 1/3.
Therefore, the slope of the line that passes through the points (-2,0) and (-17,-5) is 1/3.