Answer:
y+9 = (-10/11)(x-5)
Step-by-step explanation:
In order to use the point-slope form of the equation of a line, you need to know the slope. That can be calculated from the given points as ...
... slope = (change in y)/(change in x)
... = (1 -(-9))/(-6-5) = 10/-11
... slope = -10/11
Using this value and the first point in the form
... y - k = m(x - h) . . . . . . for slope m and point (h, k)
we get
... y -(-9) = (-10/11)(x -5)
... y + 9 = (-10/11)(x - 5)
