00:01
This problem, we have a straight line defined by the points 157 and 387, and we need to determine the slope and y intercept.
00:09
So what are the two points given? x1, y, 1 .y1, the first point is 1 .57, and the second point is x2, y2, which is 3 .87.
00:20
So that will mean that x1 is 1, y1 is 57, x2 is 3, y2 is 87.
00:27
Now recall the slope formula, the slope of a line passing through the points x1, y1, and x2, y2, y2, will be y2 minus y1 divided by x2 minus x1.
00:38
So we have 87 minus 57 divided by 3 minus 1.
00:43
That's 30 divided by 2, which is 15.
00:46
And so this is our first answer, the slope is 15.
00:49
And we want to find the y intercept as well.
00:52
Recall that a straight line, which has a slope of m, and passes to the point x1, y1 has an equation of y minus y1 is equal to m times x minus x1.
01:02
So in this case, what is y1? we have 57...