WEBVTT
00:00:00.510 --> 00:00:04.060
What is the slope of the function represented by the given figure?
00:00:04.670 --> 00:00:08.150
Slope is the vertical change divided by the horizontal change.
00:00:08.740 --> 00:00:11.750
Vertical change is how much we had to move up and down.
00:00:12.510 --> 00:00:15.170
And horizontal change is how much we had to move left and right.
00:00:15.740 --> 00:00:17.820
So vertically going up is positive.
00:00:17.990 --> 00:00:19.210
Going down is negative.
00:00:19.620 --> 00:00:22.550
Horizontally going left is negative.
00:00:22.550 --> 00:00:24.300
And going right is positive.
00:00:25.000 --> 00:00:30.200
So letâ€™s pick two points that we actually go through: negative five, zero and zero, five.
00:00:31.170 --> 00:00:36.140
So if we look at this line left to right, how much did we change vertically?
00:00:36.670 --> 00:00:38.280
We had to go up five.
00:00:38.880 --> 00:00:41.900
And then horizontally, we had to go right five.
00:00:42.390 --> 00:00:43.750
So we have five over five.
00:00:44.130 --> 00:00:45.740
Now, we always need to reduce.
00:00:46.230 --> 00:00:47.100
So we get one.
00:00:47.720 --> 00:00:52.900
Therefore the slope of this function is one, which could also be written as one over one.