SOLUTION: What's the slope and y-intercept of x = -7?

Algebra ->  Linear-equations -> SOLUTION: What's the slope and y-intercept of x = -7?      Log On


   



Question 122640: What's the slope and y-intercept of x = -7?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Discussion



The set of points that forms the line x=-7 is every point that has an
x-coordinate of -7 paired with every possible real number value for y. The
slope of a line is given by %28y%5B1%5D-y%5B2%5D%29%2F%28x%5B1%5D-x%5B2%5D%29. But in the equation
x=-7 the x-coordinate for any point on the line is -7. That means that
the denominator of the slope calculation is 0, therefore the slope is
undefined. Since x = -7 no matter what y is, this line never crosses the
y-axis. There is no y-intercept because the line is vertical and therefore
parallel to the y-axis.