What is the slope and y-intercept of the line #x=2#?

2 Answers

#\infty, \infty#

Explanation:

The given equation: #x=2# a vertical straight line parallel to y-axis at a distance of 2 unit on the right side hence it slope (m) will be
#m=\tan\frac{\pi}{2}=\infty#

The line: #x=2# meets the y-axis at infinity hence its y-intercept will also be #\infty#

Jun 24, 2018

As below.

Explanation:

#x = 2# is a line parallel to y axis and hence y-intercept is #0# as it never cuts the y axis.

Slope #= (Delta y) / (Delta x) = tan theta = tan (pi/2) = oo# as there is no change in value of x