Question

Which line has an undefined slope? A y = 0 B y = 2 C x = y D x = 2

Answer 1

Learn this :
VUX -- vertical line, undefined slope, represented by x = a number.
HOY -- horizontal line, 0 slope, represented by y = a number

so the line with the undefined slope is going to be  x = 2

Answer 2

Line x =2 has undefined slope.

What is slope?

" Slope is defined as the ratio of the difference in the increase of  y-coordinates to the difference in the increase of  x-coordinates."

Formula used

Equation of the line

y = mx + c

c = y-intercept

m = slope

m = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

According to the question,

1. y = 0

Compare it with standard equation of the line

y = 0x + 0

slope = 0

It is not a correct answer.

2. y =2

Compare it with standard equation of the line

y = 0x + 2

slope = 0

It is not a correct answer.

3. x= y

Compare it with standard equation of the line

y = 1x + 0

slope = 1

It is not a correct answer.

4. x=2

It is vertical line , x value remain constant.

Therefore,

$x_{1}=2\\x_{2}=2$

Slope = $\frac{y_{2}-y_{1}}{2-2}$

         = $\frac{y_{2}-y_{1}}{0}$

Zero in the denominator therefore, undefined slope

Hence, line x =2 has undefined slope.

Learn more about slope here

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