Question 67743
Well, first you must find the slope of the line that contains the two given points. You can use the slope formula:
{{{m = (y2-y1)/(x2-x1)}}} where: (x1, y1) = (0, 5) and (x2, y2) = (-3, -4)
{{{m = (-4-5)/(-3-0)}}} Simplify.
{{{m = -9/-3}}}
{{{m = 3}}}
Now, you'll recall that perpendicular lines have slopes that are the negative reciprocal of each other.
The negative reciprocal of 3 is {{{-1/3}}}
So the answer is.: the slope is {{{m = -1/3}}}