Answer:
y - 9 = m(x + 3)
Step-by-step explanation:
Given a line whose slope is m, the slope of a new line that is perpendicular to the given line is the negative reciprocal of m: -1/m
Given y = 2x + 8, we see that the slope is 2 and figure that the negative reciprocal of that is -1/2. This is the slope of the desired perpendicular line.
We can write the equation of this perpendicular line most easily by using the point-slope form y - k = m(x - h), where (h, k) represents the point:
y - 9 = m(x + 3)
