The -coordinate of EVERY point on the graph of is 3. So pick any two points on the graph that you like, and such that . Then use the slope formula:
where and are the coordinates of the given points.
Fill in the numbers:
You can see that the result is zero divided by some arbitrary value that is not zero. So regardless of the points selected the calculated slope will be zero.
And, just an Oh, By The Way, the intercept is NOT 3. The -coordinate of the -intercept is 3, but the actual -intercept is . Super Double Plus Extra Credit: What is the -intercept of this graph?
John
My calculator said it, I believe it, that settles it
