Final answer:
The slope between the points (-15, -7) and (-9, -14) is calculated by finding the difference in the y-values and dividing it by the difference in the x-values, resulting in a slope of -7/6.
Step-by-step explanation:
To find the slope of a straight line passing through two given points, you can use the formula Δy/Δx, which represents the change in y over the change in x (also known as 'rise over run'). Given the points (-15, -7) and (-9, -14), the slope can be calculated as follows:
- Calculate the difference in the y-values (rise): -14 - (-7) = -7.
- Calculate the difference in the x-values (run): -9 - (-15) = 6.
- Divide the rise by the run to get the slope: -7/6.
Therefore, the slope between the two points is -7/6, which is already in simplified form.