In going over a test review it asks for the equation for: undefined slope with a x intercept of 2. The answer is x=2. I don't understand the process to get that answer, Thank you
To understand it you must understand the graph.
The only lines with undefined slope are vertical lines.
First draw the x-intercept, which is the point on
the x axis marked 2. It has the coordinates (2,0):
Draw a vertical line through that point:
Now look at some more points on that vertical line:
Look at all those points,
(2,4), (2,3), (2,1.5), (2,0), (2,-2), (2,-3)
What do they have in common?
Well, they have different y-coordinates, but THEY ALL HAVE
THE SAME x-COORDINATE! And that x-COORDINATE is 2.
So to describe that line we could say:
"The line on which every point has x = 2"
That's why we say the equation of the line is
x = 2. That's because the x-coordinate is always equal to 2.
Edwin
