Question

What is the slope of the line $x=6$?

Answer 1

Hint: In the given question, we need to find the slope of the line which we can find using slope intercept form of the equation. Slope intercept form of the equation is given by $y=mx+b$ where m is the slope of the line.

Complete step-by-step answer:
For the given equation, we need to write the slope intercept form of the line $x=6$which we can clearly observe would be a straight line passing through (6,0) that means it is a line which is parallel to y-axis.
Also, the standard form of the slope intercept form of the equation is $y=mx+b$. In this equation, m denotes the slope of the line and b gives the y-intercept of the line.
Now, in the given equation of a question we can clearly see that we are given the equation $x=6$in which the value of m does not exist and from this equation we can just know the y-intercept of the line.

Therefore, the y-intercept of the line is $b=6$and the slope of the line is undefined, we can just say that it is a vertical line parallel to y-axis and passing through (6,0).

Note: In the given question we need to be careful while writing the slope as we need to transform the given form of question to slope intercept form. Also, we are not given any value of slope so we can not just say zero to be the slope of the line.