WEBVTT

1
00:00:00.000 --> 00:00:06.095
Here is the problem: Find the slope and equation of the line through (2, 3) and (6, 11).

2
00:00:06.545 --> 00:00:10.214
Find the slope (rate of change) of the line through two points.

3
00:00:11.014 --> 00:00:12.140
Label the points.

4
00:00:12.590 --> 00:00:14.552
Find the change in y (rise).

5
00:00:15.002 --> 00:00:16.755
Find the change in x (run).

6
00:00:17.205 --> 00:00:18.772
Divide rise by run.

7
00:00:19.572 --> 00:00:22.567
Find the y-intercept using the first point.

8
00:00:23.017 --> 00:00:24.677
Write the equation of the line.

9
00:00:25.477 --> 00:00:29.959
So the answer is m equals 2; y equals 2x minus 1.

10
00:00:30.408 --> 00:00:37.664
The slope is 2: for every 1 unit increase in x, y changes by 2. The line rises from left to right.

11
00:00:38.464 --> 00:00:44.025
Second point: 2 times (6) plus negative 1 equals 11 (expected 11).
