Line p passes through points (-8, 15) and (-9, 83). Line q is perpendicular to p. What is the slope of line q?
The slope of line p can be found using the formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) = (-8, 15) and (x2, y2) = (-9, 83).
Plugging in the values, we get:
m = (83 - 15) / (-9 - (-8))
m = 68 / (-9 + 8)
m = 68 / (-1)
m = -68
Since line q is perpendicular to line p, the slope of line q will be the negative reciprocal of the slope of line p.
The negative reciprocal of -68 is -1/-68, which simplifies to 1/68.
Therefore, the slope of line q is 1/68.