Question

what is the slope of the line that is perpendicular to the line through the points (0, -3) and (-2, -2)?

Answer 1

Find the slope of that line using the slope equation:

A perpendicular line's slope will be the negative reciprocal of that slope--
Example:

If the slope of a line is 1/2, then the slope of a line perpendicular will be -2.

Answer 2

find the slope using the slope formula..
slope = (y2 - y1) / (x2 - x1)
(0,-3) x1 = 0 and y1 = -3
(-2,-2) x2 = -2 and y2 = -2
now we sub
slope = (-2 - (-3) / (-2 - 0)
can you finish and find the slope ?

Answer 3

Once you do the math and find the slope, we want a perpendicular slope. To do this, you just " flip " the slope and change the sign. Like the above example : 1/2...to find negative reciprocal, " flip" the slope and change the sign...1/2 neg. rec. = -2/1 or just -2.
So find the slope, then flip it and change the sign, and you will have the perpendicular slope.