Line u passes through points (8, 7) and (2, 14). Line v is perpendicular to u. What is the slope of line v?

To find the slope of line v, we first need to find the slope of line u. The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula (y2 - y1) / (x2 - x1).

Step 1: Find the slope of line u The slope of line u (m_u) passing through points (8, 7) and (2, 14) is given by: m_u = (14 - 7) / (2 - 8) = 7 / -6 = -7/6

Step 2: Find the slope of line v The slope of a line v that is perpendicular to another line with slope m is given by the negative reciprocal of m. Therefore, the slope of line v (m_v) is: m_v = -1 / m_u = -1 / (-7/6) = 6/7

So, the slope of line v is 6/7.