Line k has a slop of -5. line j is perpendicular to line k and passes through the point (5,9). create the equation for line j.

The equation of the line would be y = 1/5x + 8

Step-by-step explanation:

Since the slope of k is -5, the slope of j has to be 1/5. This is because perpendicular lines have opposite and reciprocal slopes.

Now we can use the slope and the point in point-slope form to get the equation.

y - y1 = m(x - x1)

y - 9 = 1/5(x - 5)

y - 9 = 1/5x - 1

y = 1/5x + 8