SOLUTION: Write the equation of the line with x-intercept (�2, 0) and undefined slope.

Question 117633:
Write the equation of the line with x-intercept (�2, 0) and undefined slope.
Found 2 solutions by checkley71, bucky:
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
THE EQUATION IS X=-2 WHICH IS A VERTICLE LINE THROUGH THE POINT (-2,0)
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
The slope of a line is defined as the change in the value of y divided by the change in the
value of x. To have an undefined slope requires that the change in the value of x be zero. This
generates a division by zero in computing the slope, and since division by zero is not allowed in
algebra, this means the slope is undefined.
.
The equation for such a graph is of the form x = k where k is a constant that shows the
value of x no matter where you are on the vertical line.
.
For this problem one point on the line is given as (-2, 0) which says that at one point on the
line, the value of x equals -2. Since the line is vertical, whatever value you set y at, the
corresponding value of x equals -2.
.
As examples of this, the following points are all on the line: (-2, -100), (-2, -10), (-2,0),
(-2, 5), (-2, 45), and (-2, 200). You can tell if a point is on this line just by seeing if
that point has -2 as its value of x.
.
The line you are looking for is defined by the equation x = -2 and that is the answer to
this problem. The line is defined by the equation x = -2. This line is vertical and has an
undefined slope.
.
Hope this somewhat helps you to understand what is going on with this problem.
.
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