Since we know the coordinates of the points, we'll can use the following formula that gives the slope of the line:
`m = (y2 - y1)/(x2 - x1)` , where x1,y1,x2 and y2 are the coordinates of the points the line is passing through.
We'll identify the values of coordinates:
x1 = 7, x2 = 9
y1 = 2, y2 = 3
We'll substitute these values into the formula of the slope:
`m = (3-2)/(9-7)`
`m = 1/2`
Therefore, the slope of the line that is passing through the given points is m = `1/2` .