Final answer:
The slope of line q is -5/7.
Step-by-step explanation:
To find the slope of line q, we need to understand that parallel lines have the same slope. So, we can use the slope formula to find the slope of line p, and that will be the slope of line q as well.
In mathematics, lines that are parallel have the same slope. So, first, we need to find the slope of line p. The slope of line p that passes through the points (3,7) and (10,2) can be found using the slope formula, which is (y2 - y1) / (x2 - x1).
The slope formula is given by:
m = (y2 - y1) / (x2 - x1)
Using the coordinates of the two given points on line p, we can substitute the values into the formula:
m = (2 - 7) / (10 - 3)
m = -5 / 7
Since line q is parallel to line p, its slope is the same. So, the slope of line q is also -5 / 7.
Therefore, the slope of line q is -5/7.
Learn more about Slope of Parallel Lines