Question

# Write an equation of the line with undefined slope and passing through (5,11).

## The correct answer is: x = 5 is the equation of the given line

### Hint:-

1. X-intercept is the point on a line at which the given line intersects the x-axis.

2. At this point y-coordinate = 0.

3. A verticle line/ line parallel to the y-axis/ Y-axis has an undefined slope.

Step-by-step solution:-

The given line has an undefined slope.

∴ When plotted on a graph, given line will be represented by a verticle line which is parallel to the y-axis.

We know that any line that is parallel to the Y-axis can be represented as-

x = a ....................................................................................... (Equation i)

where a = x-intercept.

Now, when a line is parallel to the y-axis, any point on the given line has its x-coordinate constant/ same.

Since the given line passes through point (5,11) where the x-coordinate = 5

The x-coordinate at any point on the line will be 5

i.e. for y= 0 also, x = 5

and x-intercept is the point at which y = 0

∴ x-intercept for the given line = a = 5 ................................ (Equation ii)

∴ Equation of the given line = x = 5 ..................................... (From Equation i & Equation ii)

Final Answer:-

∴ x = 5 is the equation of the given line.

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