What is the slope and intercept for #x=9#?

1 Answer

Answer:

The line has an infinite slope and there is no y intercept, only an x intercept at #(9,0)#.

Explanation:

This is the equation of a vertical line.

The slope of a line is defined as the change in y divided by the change in x so

slope# = (Deltay)/(Deltax) = ( y_2 - y_1)/(x_2 - x_1 #

# x_1 = 9#

# x_2 = 9#

#9-9 = 0" "# Dividing by zero equals infinity or is undefined. so

# (y_2 - y_1)/0# = infinity, an undefined value.

( try dividing by zero on a calculator)

Also since the line goes straight up from the point #(9,0)# it will never cross the y-axis, hence there is no y-intercept.