Question

Choose the graph below that has an undefined slope.

Answer 1

The correct option is A.

Explanation:

The first line passing through the points (-6,2) and (-6,0).

The slope of a line is

`m=(y_2-y_1)/(x_2-x_1)`

The slope of first line is

`m_1=(0-2)/(-6-(-6))=\infty`

The second line passing through the points (0,-4) and (-1,1). The slope of second line is

`m_2=(1-(-4))/(-1-0)=-5`

The third line passing through the points (0,-6) and (2,-6). The slope of third line is

`m_3=(-6-(-6))/(2-0)=0`

The fourth line passing through the points (0,6) and (-3,-7). The slope of fourth line is

`m_4=(-7-6)/(-3-0)=(13)/(3)`

Since the slope of a vertical line is infinity, Therefore option A is correct.