00:01
In this problem, we have been asked to estimate the slope of the graph at the points x1, y1, and x2.
00:07
Now, first of all, let us consider the slope at the point x1y1.
00:14
Now, the slope of a graph at a point is equal to the slope of the tangent line to the graph at that point.
00:23
And we can see that the tangent line is drawn at the point x1y1, and that tangent line is horizontal.
00:29
And the slope of a horizontal line is 0.
00:35
So since the slope of the tangent line is 0, so at the point x1.
00:38
The slope of the graph that will also be 0.
00:43
Next, let us consider it at the point x2, y2.
00:47
So we can see that the tangent line at the point x2 y2, this is an oblique line.
00:54
So let us use the formula for that.
00:56
And the slope of an oblique line which passes through the points a1, b1, and a2, b2, b2, the formula for that is b2 minus b1 divided by a2 minus a1...