The question asks:

Find the slope of any ilne parallel to the line through points (20,9) and (7,8).

so i found slope which i did:

y=(9-8)/(20-7)= (-(-)/(13)

so by having the slope how do find another the slope of any line parallel to this one that go through the points.

slope of parallel lines are the same.

To find the slope of any line parallel to the line passing through the points (20,9) and (7,8), you have correctly calculated the slope of the line passing through these two points. The slope of a line is given by the formula:

slope = (change in y-coordinates) / (change in x-coordinates)

In this case, the change in y-coordinates is (9 - 8) and the change in x-coordinates is (20 - 7). Therefore, the slope of the line passing through these points is:

slope = (9 - 8) / (20 - 7) = 1 / 13

Since parallel lines have the same slope, any line parallel to this line will also have a slope of 1/13. So, the slope of any line parallel to the line through points (20,9) and (7,8) is 1/13.