Final answer:
To find the slope of line r, we use the slope formula and the perpendicularity of line v to line u. The slope of line u is 6/5 and the slope of line r would be -5/6.
Step-by-step explanation:
To find the slope of line r, we need to know the slope of line u and the fact that line v is perpendicular to u. The slope of line u can be found using the formula: slope = (y2 - y1)/(x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of two points on the line. For line u, the coordinates are (2,3) and (7,9). Plugging in these values, we get: slope = (9 - 3)/(7 - 2) = 6/5. Since line v is perpendicular to u, the slope of v is the negative reciprocal of the slope of u, which is -5/6. Therefore, the slope of line r would also be -5/6.